56088288 has 72 divisors (see below), whose sum is σ = 165431448. Its totient is φ = 18693504.

The previous prime is 56088259. The next prime is 56088293. The reversal of 56088288 is 88288065.

56088288 is a `hidden beast` number, since 560 + 8 + 8 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4170 + ... + 11382.

It is an arithmetic number, because the mean of its divisors is an integer number (2297659).

Almost surely, 2^56088288 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 56088288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82715724).

56088288 is an abundant number, since it is smaller than the sum of its proper divisors (109343160).

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

56088288 is an equidigital number, since it uses as much as digits as its factorization.

56088288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7238 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 56088288 is about 7489.2114404655. The cubic root of 56088288 is about 382.7871891626.

The spelling of 56088288 in words is "fifty-six million, eighty-eight thousand, two hundred eighty-eight".