5728624 has 40 divisors (see below), whose sum is σ = 12253680. Its totient is φ = 2594240.

The previous prime is 5728621. The next prime is 5728627. The reversal of 5728624 is 4268275.

It is an interprime number because it is at equal distance from previous prime (5728621) and next prime (5728627).

It is a self number, because there is not a number n which added to its sum of digits gives 5728624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5728621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21162 + ... + 21430.

It is an arithmetic number, because the mean of its divisors is an integer number (306342).

Almost surely, 2^5728624 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 5728624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126840).

5728624 is an abundant number, since it is smaller than the sum of its proper divisors (6525056).

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

5728624 is a wasteful number, since it uses less digits than its factorization.

5728624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 282 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 5728624 is about 2393.4544073368. The cubic root of 5728624 is about 178.9301143080.

The spelling of 5728624 in words is "five million, seven hundred twenty-eight thousand, six hundred twenty-four".