28089600 has 432 divisors, whose sum is σ = 121658880. Its totient is φ = 5529600.

The previous prime is 28089569. The next prime is 28089613. The reversal of 28089600 is 698082.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478391 + ... + 1478409.

Almost surely, 2^28089600 is an apocalyptic number.

28089600 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 28089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60829440).

28089600 is an abundant number, since it is smaller than the sum of its proper divisors (93569280).

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

28089600 is a wasteful number, since it uses less digits than its factorization.

28089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

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

The square root of 28089600 is about 5299.9622640166. The cubic root of 28089600 is about 303.9824551278.

The spelling of 28089600 in words is "twenty-eight million, eighty-nine thousand, six hundred".