56188000 has 96 divisors (see below), whose sum is σ = 150722208. Its totient is φ = 20416000.

The previous prime is 56187979. The next prime is 56188021. The reversal of 56188000 is 88165.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56187979) and next prime (56188021).

It is a self number, because there is not a number n which added to its sum of digits gives 56188000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43362 + ... + 44638.

It is an arithmetic number, because the mean of its divisors is an integer number (1570023).

Almost surely, 2^56188000 is an apocalyptic number.

56188000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75361104).

56188000 is an abundant number, since it is smaller than the sum of its proper divisors (94534208).

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

56188000 is a wasteful number, since it uses less digits than its factorization.

56188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 56188000 is about 7495.8655270756. The cubic root of 56188000 is about 383.0138905628.

The spelling of 56188000 in words is "fifty-six million, one hundred eighty-eight thousand".