56506128 has 80 divisors (see below), whose sum is σ = 170750976. Its totient is φ = 15765120.

The previous prime is 56506127. The next prime is 56506169. The reversal of 56506128 is 82160565.

56506128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56506127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12493 + ... + 16403.

Almost surely, 2^56506128 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 56506128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85375488).

56506128 is an abundant number, since it is smaller than the sum of its proper divisors (114244848).

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

56506128 is a wasteful number, since it uses less digits than its factorization.

56506128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 56506128 is about 7517.0558066307. The cubic root of 56506128 is about 383.7353862734.

The spelling of 56506128 in words is "fifty-six million, five hundred six thousand, one hundred twenty-eight".