5117728 has 96 divisors (see below), whose sum is σ = 13160448. Its totient is φ = 1900800.

The previous prime is 5117713. The next prime is 5117737. The reversal of 5117728 is 8277115.

It is a happy number.

It is a super-2 number, since 2×5117728² = 52382279763968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 5117728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76351 + ... + 76417.

It is an arithmetic number, because the mean of its divisors is an integer number (137088).

Almost surely, 2^5117728 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 5117728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580224).

5117728 is an abundant number, since it is smaller than the sum of its proper divisors (8042720).

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

5117728 is a wasteful number, since it uses less digits than its factorization.

5117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its digits is 3920, while the sum is 31.

The square root of 5117728 is about 2262.2395982742. The cubic root of 5117728 is about 172.3292772868.

The spelling of 5117728 in words is "five million, one hundred seventeen thousand, seven hundred twenty-eight".