56302128 has 80 divisors (see below), whose sum is σ = 163704800. Its totient is φ = 18755712.

The previous prime is 56302121. The next prime is 56302133. The reversal of 56302128 is 82120365.

56302128 is a `hidden beast` number, since 5 + 630 + 2 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56302121) 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, 34188 + ... + 35796.

It is an arithmetic number, because the mean of its divisors is an integer number (2046310).

Almost surely, 2^56302128 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 56302128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81852400).

56302128 is an abundant number, since it is smaller than the sum of its proper divisors (107402672).

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

56302128 is an equidigital number, since it uses as much as digits as its factorization.

56302128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56302128 is about 7503.4743952385. The cubic root of 56302128 is about 383.2730386999.

The spelling of 56302128 in words is "fifty-six million, three hundred two thousand, one hundred twenty-eight".