28938624 has 256 divisors, whose sum is σ = 98703360. Its totient is φ = 7372800.

The previous prime is 28938619. The next prime is 28938629. The reversal of 28938624 is 42683982.

It is an interprime number because it is at equal distance from previous prime (28938619) and next prime (28938629).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28938629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933489 + ... + 933519.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^28938624 is an apocalyptic number.

28938624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28938624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

28938624 is an abundant number, since it is smaller than the sum of its proper divisors (69764736).

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

28938624 is a wasteful number, since it uses less digits than its factorization.

28938624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 28938624 is about 5379.4631702429. The cubic root of 28938624 is about 307.0147863589.

The spelling of 28938624 in words is "twenty-eight million, nine hundred thirty-eight thousand, six hundred twenty-four".