56488128 has 56 divisors (see below), whose sum is σ = 150205440. Its totient is φ = 18735360.

The previous prime is 56488123. The next prime is 56488141. The reversal of 56488128 is 82188465.

56488128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56488128.

It is not an unprimeable number, because it can be changed into a prime (56488123) 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 7 ways as a sum of consecutive naturals, for example, 45273 + ... + 46503.

It is an arithmetic number, because the mean of its divisors is an integer number (2682240).

Almost surely, 2^56488128 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 56488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75102720).

56488128 is an abundant number, since it is smaller than the sum of its proper divisors (93717312).

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

56488128 is a wasteful number, since it uses less digits than its factorization.

56488128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1475 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 56488128 is about 7515.8584340047. The cubic root of 56488128 is about 383.6946357049.

It can be divided in two parts, 56488 and 128, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 56488128 in words is "fifty-six million, four hundred eighty-eight thousand, one hundred twenty-eight".