56393280 has 224 divisors, whose sum is σ = 204094080. Its totient is φ = 14653440.

The previous prime is 56393269. The next prime is 56393287. The reversal of 56393280 is 8239365.

56393280 is a `hidden beast` number, since 563 + 93 + 2 + 8 + 0 = 666.

56393280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (56393287) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 526987 + ... + 527093.

Almost surely, 2^56393280 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 56393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102047040).

56393280 is an abundant number, since it is smaller than the sum of its proper divisors (147700800).

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

56393280 is a wasteful number, since it uses less digits than its factorization.

56393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56393280 is about 7509.5459250210. The cubic root of 56393280 is about 383.4797642630.

The spelling of 56393280 in words is "fifty-six million, three hundred ninety-three thousand, two hundred eighty".