56576128 has 64 divisors (see below), whose sum is σ = 129841920. Its totient is φ = 24053760.

The previous prime is 56576111. The next prime is 56576173. The reversal of 56576128 is 82167565.

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (100800) is a multiple of the sum of its prime factors (525).

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 7 ways as a sum of consecutive naturals, for example, 208633 + ... + 208903.

It is an arithmetic number, because the mean of its divisors is an integer number (2028780).

Almost surely, 2^56576128 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 56576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64920960).

56576128 is an abundant number, since it is smaller than the sum of its proper divisors (73265792).

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

56576128 is a wasteful number, since it uses less digits than its factorization.

56576128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 513 counting only the distinct ones).

The product of its digits is 100800, while the sum is 40.

The square root of 56576128 is about 7521.7104437754. The cubic root of 56576128 is about 383.8937784902.

The spelling of 56576128 in words is "fifty-six million, five hundred seventy-six thousand, one hundred twenty-eight".