56128968 has 96 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 15091200.

The previous prime is 56128939. The next prime is 56128973. The reversal of 56128968 is 86982165.

56128968 is a `hidden beast` number, since 561 + 2 + 89 + 6 + 8 = 666.

56128968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56128968² = 6300922097490048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5293 + ... + 11843.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^56128968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56128968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

56128968 is an abundant number, since it is smaller than the sum of its proper divisors (127851192).

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

56128968 is a wasteful number, since it uses less digits than its factorization.

56128968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6580 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 56128968 is about 7491.9268549553. The cubic root of 56128968 is about 382.8797100807.

The spelling of 56128968 in words is "fifty-six million, one hundred twenty-eight thousand, nine hundred sixty-eight".