28608900 has 72 divisors (see below), whose sum is σ = 84577920. Its totient is φ = 7463040.

The previous prime is 28608883. The next prime is 28608917. The reversal of 28608900 is 980682.

It is an interprime number because it is at equal distance from previous prime (28608883) and next prime (28608917).

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, 13086 + ... + 15114.

Almost surely, 2^28608900 is an apocalyptic number.

28608900 is a gapful number since it is divisible by the number (20) 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 28608900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42288960).

28608900 is an abundant number, since it is smaller than the sum of its proper divisors (55969020).

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

28608900 is a wasteful number, since it uses less digits than its factorization.

28608900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 28608900 is about 5348.7288209443. The cubic root of 28608900 is about 305.8442968811.

The spelling of 28608900 in words is "twenty-eight million, six hundred eight thousand, nine hundred".