56928089400 has 576 divisors, whose sum is σ = 220348396800. Its totient is φ = 11904122880.

The previous prime is 56928089377. The next prime is 56928089419. The reversal of 56928089400 is 498082965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98661912 + ... + 98662488.

It is an arithmetic number, because the mean of its divisors is an integer number (382549300).

Almost surely, 2^56928089400 is an apocalyptic number.

56928089400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56928089400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110174198400).

56928089400 is an abundant number, since it is smaller than the sum of its proper divisors (163420307400).

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

56928089400 is a wasteful number, since it uses less digits than its factorization.

56928089400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 56928089400 in words is "fifty-six billion, nine hundred twenty-eight million, eighty-nine thousand, four hundred".