56328 has 16 divisors (see below), whose sum is σ = 140880. Its totient is φ = 18768.

The previous prime is 56311. The next prime is 56333. The reversal of 56328 is 82365.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2347 = 56328 / (5 + 6 + 3 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 56298 and 56307.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1150 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (8805).

2⁵⁶³²⁸ is an apocalyptic number.

It is an amenable number.

56328 is an abundant number, since it is smaller than the sum of its proper divisors (84552).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70440).

56328 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 56328 = (85236)₉.

56328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2352 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 56328 is about 237.3352059851. The cubic root of 56328 is about 38.3331737023. Note that the first 3 decimals are identical.

The spelling of 56328 in words is "fifty-six thousand, three hundred twenty-eight".