5005728 has 144 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 1313280.

The previous prime is 5005709. The next prime is 5005757. The reversal of 5005728 is 8275005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 26113 + ... + 26303.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

Almost surely, 2^5005728 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 5005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

5005728 is an abundant number, since it is smaller than the sum of its proper divisors (12606048).

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

5005728 is a wasteful number, since it uses less digits than its factorization.

5005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5005728 is about 2237.3484306205. The cubic root of 5005728 is about 171.0628680298.

The spelling of 5005728 in words is "five million, five thousand, seven hundred twenty-eight".