56285280 has 240 divisors, whose sum is σ = 205272144. Its totient is φ = 14515200.

The previous prime is 56285269. The next prime is 56285287. The reversal of 56285280 is 8258265.

56285280 is a `hidden beast` number, since 5 + 628 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56285287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 557230 + ... + 557330.

Almost surely, 2^56285280 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 56285280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102636072).

56285280 is an abundant number, since it is smaller than the sum of its proper divisors (148986864).

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

56285280 is a wasteful number, since it uses less digits than its factorization.

56285280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 56285280 is about 7502.3516313220. The cubic root of 56285280 is about 383.2348043347.

It can be divided in two parts, 56285 and 280, that added together give a palindrome (56565).

The spelling of 56285280 in words is "fifty-six million, two hundred eighty-five thousand, two hundred eighty".