408752928 has 72 divisors (see below), whose sum is σ = 1223586000. Its totient is φ = 129078144.

The previous prime is 408752917. The next prime is 408752933. The reversal of 408752928 is 829257804.

408752928 is a `hidden beast` number, since 40 + 87 + 529 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×408752928² = 334157912297146368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31878 + ... + 42821.

It is an arithmetic number, because the mean of its divisors is an integer number (16994250).

Almost surely, 2^408752928 is an apocalyptic number.

408752928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

408752928 is an abundant number, since it is smaller than the sum of its proper divisors (814833072).

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

408752928 is a wasteful number, since it uses less digits than its factorization.

408752928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74734 (or 74723 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 408752928 is about 20217.6390313014. The cubic root of 408752928 is about 742.1419121529.

The spelling of 408752928 in words is "four hundred eight million, seven hundred fifty-two thousand, nine hundred twenty-eight".