56028000 has 384 divisors, whose sum is σ = 226437120. Its totient is φ = 11827200.

The previous prime is 56027989. The next prime is 56028001. The reversal of 56028000 is 82065.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56028001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1931986 + ... + 1932014.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^56028000 is an apocalyptic number.

56028000 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 56028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

56028000 is an abundant number, since it is smaller than the sum of its proper divisors (170409120).

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

56028000 is a wasteful number, since it uses less digits than its factorization.

56028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 56028000 is about 7485.1853684461. The cubic root of 56028000 is about 382.6499903028.

The spelling of 56028000 in words is "fifty-six million, twenty-eight thousand".