56433888 has 288 divisors, whose sum is σ = 202245120. Its totient is φ = 15240960.

The previous prime is 56433877. The next prime is 56433893. The reversal of 56433888 is 88833465.

56433888 is a `hidden beast` number, since 564 + 3 + 3 + 8 + 88 = 666.

56433888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1312395 + ... + 1312437.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 2^56433888 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 56433888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101122560).

56433888 is an abundant number, since it is smaller than the sum of its proper divisors (145811232).

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

56433888 is a wasteful number, since it uses less digits than its factorization.

56433888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 56433888 is about 7512.2491971446. The cubic root of 56433888 is about 383.5717882888.

The spelling of 56433888 in words is "fifty-six million, four hundred thirty-three thousand, eight hundred eighty-eight".