633128628 has 72 divisors (see below), whose sum is σ = 1630814080. Its totient is φ = 191030400.

The previous prime is 633128611. The next prime is 633128653. The reversal of 633128628 is 826821336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392688 + ... + 394296.

Almost surely, 2^633128628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633128628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815407040).

633128628 is an abundant number, since it is smaller than the sum of its proper divisors (997685452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

633128628 is a wasteful number, since it uses less digits than its factorization.

633128628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1896 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 633128628 is about 25162.0473729782. The cubic root of 633128628 is about 858.6786215619.

The spelling of 633128628 in words is "six hundred thirty-three million, one hundred twenty-eight thousand, six hundred twenty-eight".