56153628 has 48 divisors (see below), whose sum is σ = 150612000. Its totient is φ = 18071424.

The previous prime is 56153627. The next prime is 56153653. The reversal of 56153628 is 82635165.

56153628 is a `hidden beast` number, since 5 + 615 + 36 + 2 + 8 = 666.

56153628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56153592 and 56153601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56153623) 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 15 ways as a sum of consecutive naturals, for example, 5833 + ... + 12096.

It is an arithmetic number, because the mean of its divisors is an integer number (3137750).

Almost surely, 2^56153628 is an apocalyptic number.

56153628 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

56153628 is an abundant number, since it is smaller than the sum of its proper divisors (94458372).

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

56153628 is a wasteful number, since it uses less digits than its factorization.

56153628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17971 (or 17963 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 56153628 is about 7493.5724457698. The cubic root of 56153628 is about 382.9357740087.

The spelling of 56153628 in words is "fifty-six million, one hundred fifty-three thousand, six hundred twenty-eight".