22528800 has 288 divisors, whose sum is σ = 93744000. Its totient is φ = 5114880.

The previous prime is 22528789. The next prime is 22528811. The reversal of 22528800 is 882522.

It is an interprime number because it is at equal distance from previous prime (22528789) and next prime (22528811).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151126 + ... + 151274.

It is an arithmetic number, because the mean of its divisors is an integer number (325500).

Almost surely, 2^22528800 is an apocalyptic number.

22528800 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 22528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

22528800 is an abundant number, since it is smaller than the sum of its proper divisors (71215200).

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

22528800 is a wasteful number, since it uses less digits than its factorization.

22528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22528800 is about 4746.4513059759. The cubic root of 22528800 is about 282.4312099194.

The spelling of 22528800 in words is "twenty-two million, five hundred twenty-eight thousand, eight hundred".