633728 has 16 divisors (see below), whose sum is σ = 1262760. Its totient is φ = 316800.

The previous prime is 633667. The next prime is 633739. The reversal of 633728 is 827336.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×633728³ = 763536745804333056, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 633728.

It is a congruent number.

It is an unprimeable number.

633728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2348 + ... + 2603.

2⁶³³⁷²⁸ is an apocalyptic number.

It is an amenable number.

633728 is a deficient number, since it is larger than the sum of its proper divisors (629032).

633728 is an equidigital number, since it uses as much as digits as its factorization.

633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4953 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 633728 is about 796.0703486502. The cubic root of 633728 is about 85.8949501536.

The spelling of 633728 in words is "six hundred thirty-three thousand, seven hundred twenty-eight".