56464128 has 180 divisors, whose sum is σ = 192912720. Its totient is φ = 16091136.

The previous prime is 56464127. The next prime is 56464141. The reversal of 56464128 is 82146465.

56464128 is a `hidden beast` number, since 5 + 6 + 4 + 641 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56464092 and 56464101.

It is not an unprimeable number, because it can be changed into a prime (56464127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144958 + ... + 145346.

Almost surely, 2^56464128 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 56464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96456360).

56464128 is an abundant number, since it is smaller than the sum of its proper divisors (136448592).

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

56464128 is an equidigital number, since it uses as much as digits as its factorization.

56464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 401 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 56464128 is about 7514.2616403743. The cubic root of 56464128 is about 383.6402881453.

The spelling of 56464128 in words is "fifty-six million, four hundred sixty-four thousand, one hundred twenty-eight".