28372624 has 80 divisors (see below), whose sum is σ = 67456000. Its totient is φ = 11290752.

The previous prime is 28372621. The next prime is 28372627. The reversal of 28372624 is 42627382.

It is a Cunningham number, because it is equal to 305³-1.

It is an interprime number because it is at equal distance from previous prime (28372621) and next prime (28372627).

It is a self number, because there is not a number n which added to its sum of digits gives 28372624.

It is not an unprimeable number, because it can be changed into a prime (28372621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142477 + ... + 142675.

It is an arithmetic number, because the mean of its divisors is an integer number (843200).

Almost surely, 2^28372624 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 28372624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33728000).

28372624 is an abundant number, since it is smaller than the sum of its proper divisors (39083376).

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

28372624 is a wasteful number, since it uses less digits than its factorization.

28372624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 28372624 is about 5326.5959110862. The cubic root of 28372624 is about 304.9999964167. Note that the first 5 decimals are identical.

The spelling of 28372624 in words is "twenty-eight million, three hundred seventy-two thousand, six hundred twenty-four".