56282688 has 336 divisors, whose sum is σ = 213018624. Its totient is φ = 14307840.

The previous prime is 56282671. The next prime is 56282689. The reversal of 56282688 is 88628265.

56282688 is a `hidden beast` number, since 562 + 8 + 2 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (56282689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197481 + ... + 1197527.

It is an arithmetic number, because the mean of its divisors is an integer number (633984).

Almost surely, 2^56282688 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 56282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106509312).

56282688 is an abundant number, since it is smaller than the sum of its proper divisors (156735936).

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

56282688 is a wasteful number, since it uses less digits than its factorization.

56282688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 56282688 is about 7502.1788834978. The cubic root of 56282688 is about 383.2289214475.

The spelling of 56282688 in words is "fifty-six million, two hundred eighty-two thousand, six hundred eighty-eight".