56088128 has 28 divisors (see below), whose sum is σ = 112414812. Its totient is φ = 27763200.

The previous prime is 56088127. The next prime is 56088161. The reversal of 56088128 is 82188065.

56088128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37356544 + 18731584 = 6112^2 + 4328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56088091 and 56088100.

It is not an unprimeable number, because it can be changed into a prime (56088127) 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 3 ways as a sum of consecutive naturals, for example, 2126 + ... + 10802.

Almost surely, 2^56088128 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 56088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56207406).

56088128 is an abundant number, since it is smaller than the sum of its proper divisors (56326684).

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

56088128 is a wasteful number, since it uses less digits than its factorization.

56088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 56088128 is about 7489.2007584254. The cubic root of 56088128 is about 382.7868251768.

It can be divided in two parts, 560 and 88128, that added together give a palindrome (88688).

The spelling of 56088128 in words is "fifty-six million, eighty-eight thousand, one hundred twenty-eight".