diff --git a/pkg/github/params.go b/pkg/github/params.go
index 416020abb7..6e62885293 100644
--- a/pkg/github/params.go
+++ b/pkg/github/params.go
@@ -83,7 +83,14 @@ func toInt(val any) (int, error) {
 	if f != math.Trunc(f) {
 		return 0, fmt.Errorf("non-integer numeric value: %v", f)
 	}
-	if f > math.MaxInt || f < math.MinInt {
+	// Compare before converting, against the exact power of two. math.MaxInt is
+	// 2^(strconv.IntSize-1) - 1, which a float64 cannot represent: on 64-bit
+	// targets it rounds up to exactly 2^63, so comparing against it lets 2^63
+	// through. Converting an out-of-range float64 to int is implementation-defined
+	// - MinInt on amd64, MaxInt on the targets whose conversion saturates - so the
+	// bound has to reject the value before the conversion rather than inspect the
+	// result of it. math.Ldexp gives the exact bound on every target.
+	if limit := math.Ldexp(1, strconv.IntSize-1); f >= limit || f < -limit {
 		return 0, fmt.Errorf("numeric value out of int range: %v", f)
 	}
 	return int(f), nil
diff --git a/pkg/github/params_test.go b/pkg/github/params_test.go
index 3c0d7f43d1..fe70a9d1ae 100644
--- a/pkg/github/params_test.go
+++ b/pkg/github/params_test.go
@@ -376,6 +376,34 @@ func Test_OptionalIntParam(t *testing.T) {
 			expected:    0,
 			expectError: true,
 		},
+		{
+			name:        "2^63 string parameter",
+			params:      map[string]any{"count": "9223372036854775808"},
+			paramName:   "count",
+			expected:    0,
+			expectError: true,
+		},
+		{
+			name:        "MaxInt64 string parameter rounds up to 2^63",
+			params:      map[string]any{"count": "9223372036854775807"},
+			paramName:   "count",
+			expected:    0,
+			expectError: true,
+		},
+		{
+			name:        "2^63 float64 parameter",
+			params:      map[string]any{"count": math.Pow(2, 63)},
+			paramName:   "count",
+			expected:    0,
+			expectError: true,
+		},
+		{
+			name:        "MaxInt32 float64 parameter",
+			params:      map[string]any{"count": float64(math.MaxInt32)},
+			paramName:   "count",
+			expected:    math.MaxInt32,
+			expectError: false,
+		},
 	}
 
 	for _, tc := range tests {