56928144 has 80 divisors (see below), whose sum is σ = 181016192. Its totient is φ = 15012864.

The previous prime is 56928143. The next prime is 56928149. The reversal of 56928144 is 44182965.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (56928143) 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, 2149 + ... + 10884.

Almost surely, 2^56928144 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 56928144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90508096).

56928144 is an abundant number, since it is smaller than the sum of its proper divisors (124088048).

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

56928144 is a wasteful number, since it uses less digits than its factorization.

56928144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13064 (or 13058 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 56928144 is about 7545.0741547052. The cubic root of 56928144 is about 384.6883270558.

The spelling of 56928144 in words is "fifty-six million, nine hundred twenty-eight thousand, one hundred forty-four".