56993328 has 160 divisors (see below), whose sum is σ = 191416320. Its totient is φ = 15897600.

The previous prime is 56993317. The next prime is 56993341. The reversal of 56993328 is 82339965.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141928 + ... + 142328.

It is an arithmetic number, because the mean of its divisors is an integer number (1196352).

Almost surely, 2^56993328 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 56993328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95708160).

56993328 is an abundant number, since it is smaller than the sum of its proper divisors (134422992).

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

56993328 is a wasteful number, since it uses less digits than its factorization.

56993328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 56993328 is about 7549.3925583453. The cubic root of 56993328 is about 384.8350966356.

The spelling of 56993328 in words is "fifty-six million, nine hundred ninety-three thousand, three hundred twenty-eight".