5617728 has 56 divisors (see below), whose sum is σ = 16520160. Its totient is φ = 1872000.

The previous prime is 5617709. The next prime is 5617739. The reversal of 5617728 is 8277165.

5617728 is a `hidden beast` number, since 561 + 77 + 28 = 666.

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 = 5617692 and 5617701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 3353.

Almost surely, 2^5617728 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 5617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8260080).

5617728 is an abundant number, since it is smaller than the sum of its proper divisors (10902432).

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

5617728 is a wasteful number, since it uses less digits than its factorization.

5617728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3256 counting only the distinct ones).

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

The square root of 5617728 is about 2370.1746771072. The cubic root of 5617728 is about 177.7679929800.

The spelling of 5617728 in words is "five million, six hundred seventeen thousand, seven hundred twenty-eight".