56753280 has 192 divisors, whose sum is σ = 200491200. Its totient is φ = 14788608.

The previous prime is 56753273. The next prime is 56753317. The reversal of 56753280 is 8235765.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339757 + ... + 339923.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^56753280 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 56753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

56753280 is an abundant number, since it is smaller than the sum of its proper divisors (143737920).

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

56753280 is a wasteful number, since it uses less digits than its factorization.

56753280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 56753280 is about 7533.4772847603. The cubic root of 56753280 is about 384.2940456123.

The spelling of 56753280 in words is "fifty-six million, seven hundred fifty-three thousand, two hundred eighty".