```ts
/**
 * The factorial of n. Throws Error for non-integer or negative arguments.
 */
export function factorial(n: number): number {
  if (typeof n !== 'number' || !Number.isInteger(n)) {
    throw new Error('Argument must be an integer.');
  }
  if (n < 0) {
    throw new Error('Argument must be non-negative.');
  }
  if (n === 0) {
    return 1;
  }
  return n * factorial(n - 1);
}
```