28305624 has 64 divisors (see below), whose sum is σ = 74419200. Its totient is φ = 8959104.

The previous prime is 28305619. The next prime is 28305631. The reversal of 28305624 is 42650382.

It is a junction number, because it is equal to n+sod(n) for n = 28305591 and 28305600.

It is a congruent number.

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, 46329 + ... + 46935.

It is an arithmetic number, because the mean of its divisors is an integer number (1162800).

Almost surely, 2^28305624 is an apocalyptic number.

28305624 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 28305624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209600).

28305624 is an abundant number, since it is smaller than the sum of its proper divisors (46113576).

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

28305624 is a wasteful number, since it uses less digits than its factorization.

28305624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 28305624 is about 5320.3029988902. The cubic root of 28305624 is about 304.7597283544.

The spelling of 28305624 in words is "twenty-eight million, three hundred five thousand, six hundred twenty-four".