56388 has 24 divisors (see below), whose sum is σ = 136192. Its totient is φ = 18144.

The previous prime is 56383. The next prime is 56393. The reversal of 56388 is 88365.

56388 = T₃₇ + T₃₈ + ... + T₇₂.

It is an interprime number because it is at equal distance from previous prime (56383) and next prime (56393).

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56383) by changing a digit.

56388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381 + ... + 507.

2⁵⁶³⁸⁸ is an apocalyptic number.

It is an amenable number.

56388 is an abundant number, since it is smaller than the sum of its proper divisors (79804).

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 (68096).

56388 is a wasteful number, since it uses less digits than its factorization.

56388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 56388 is about 237.4615758391. The cubic root of 56388 is about 38.3467795719.

It can be divided in two parts, 56 and 388, that added together give a palindrome (444).

The spelling of 56388 in words is "fifty-six thousand, three hundred eighty-eight".