56756128 has 96 divisors (see below), whose sum is σ = 133781760. Its totient is φ = 23362560.

The previous prime is 56756123. The next prime is 56756197. The reversal of 56756128 is 82165765.

It is not an unprimeable number, because it can be changed into a prime (56756123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361426 + ... + 361582.

It is an arithmetic number, because the mean of its divisors is an integer number (1393560).

Almost surely, 2^56756128 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 56756128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66890880).

56756128 is an abundant number, since it is smaller than the sum of its proper divisors (77025632).

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

56756128 is a wasteful number, since it uses less digits than its factorization.

56756128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

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

The square root of 56756128 is about 7533.6663053257. Note that the first 3 decimals coincide. The cubic root of 56756128 is about 384.3004737349.

The spelling of 56756128 in words is "fifty-six million, seven hundred fifty-six thousand, one hundred twenty-eight".