23284800 has 504 divisors, whose sum is σ = 107716320. Its totient is φ = 4838400.

The previous prime is 23284799. The next prime is 23284819. The reversal of 23284800 is 848232.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×23284800² = 1084363822080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116795 + ... + 2116805.

Almost surely, 2^23284800 is an apocalyptic number.

23284800 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 23284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53858160).

23284800 is an abundant number, since it is smaller than the sum of its proper divisors (84431520).

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

23284800 is a wasteful number, since it uses less digits than its factorization.

23284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23284800 is about 4825.4326230919. The cubic root of 23284800 is about 285.5557024722. Note that the first 3 decimals are identical.

The spelling of 23284800 in words is "twenty-three million, two hundred eighty-four thousand, eight hundred".