56017728 has 84 divisors (see below), whose sum is σ = 172938948. Its totient is φ = 17233920.

The previous prime is 56017697. The next prime is 56017733. The reversal of 56017728 is 82771065.

56017728 is a `hidden beast` number, since 560 + 1 + 77 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28643904 + 27373824 = 5352^2 + 5232^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 56017692 and 56017701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3748 + ... + 11228.

It is an arithmetic number, because the mean of its divisors is an integer number (2058797).

Almost surely, 2^56017728 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 56017728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86469474).

56017728 is an abundant number, since it is smaller than the sum of its proper divisors (116921220).

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

56017728 is a wasteful number, since it uses less digits than its factorization.

56017728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 56017728 is about 7484.4991816420. The cubic root of 56017728 is about 382.6266042522.

The spelling of 56017728 in words is "fifty-six million, seventeen thousand, seven hundred twenty-eight".