634652928 has 288 divisors, whose sum is σ = 2312172800. Its totient is φ = 167215104.

The previous prime is 634652923. The next prime is 634652929. The reversal of 634652928 is 829256436.

634652928 is a `hidden beast` number, since 63 + 46 + 529 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (634652923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628488 + ... + 629496.

Almost surely, 2^634652928 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 634652928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156086400).

634652928 is an abundant number, since it is smaller than the sum of its proper divisors (1677519872).

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

634652928 is a wasteful number, since it uses less digits than its factorization.

634652928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1034 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 634652928 is about 25192.3188293575. The cubic root of 634652928 is about 859.3671782305.

The spelling of 634652928 in words is "six hundred thirty-four million, six hundred fifty-two thousand, nine hundred twenty-eight".