56788992 has 192 divisors, whose sum is σ = 183456000. Its totient is φ = 17252352.

The previous prime is 56788973. The next prime is 56789101. The reversal of 56788992 is 29988765.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×56788992² = 6449979224752128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 718809 + ... + 718887.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 2^56788992 is an apocalyptic number.

56788992 is a gapful number since it is divisible by the number (52) 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 56788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728000).

56788992 is an abundant number, since it is smaller than the sum of its proper divisors (126667008).

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

56788992 is a wasteful number, since it uses less digits than its factorization.

56788992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 56788992 is about 7535.8471322075. The cubic root of 56788992 is about 384.3746343839.

The spelling of 56788992 in words is "fifty-six million, seven hundred eighty-eight thousand, nine hundred ninety-two".