56716128 has 108 divisors (see below), whose sum is σ = 187665660. Its totient is φ = 16200576.

The previous prime is 56716123. The next prime is 56716133. The reversal of 56716128 is 82161765.

It is an interprime number because it is at equal distance from previous prime (56716123) and next prime (56716133).

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

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 56716092 and 56716101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56716123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12103 + ... + 16121.

It is an arithmetic number, because the mean of its divisors is an integer number (1737645).

Almost surely, 2^56716128 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 56716128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93832830).

56716128 is an abundant number, since it is smaller than the sum of its proper divisors (130949532).

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

56716128 is a wasteful number, since it uses less digits than its factorization.

56716128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4031 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 56716128 is about 7531.0110874968. The cubic root of 56716128 is about 384.2101714060.

It can be divided in two parts, 567 and 16128, that multiplied together give a square (9144576 = 3024²).

The spelling of 56716128 in words is "fifty-six million, seven hundred sixteen thousand, one hundred twenty-eight".