22628400 has 120 divisors (see below), whose sum is σ = 73574160. Its totient is φ = 5944320.

The previous prime is 22628399. The next prime is 22628401. The reversal of 22628400 is 482622.

It is an interprime number because it is at equal distance from previous prime (22628399) and next prime (22628401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22628401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130714 + ... + 130886.

It is an arithmetic number, because the mean of its divisors is an integer number (613118).

Almost surely, 2^22628400 is an apocalyptic number.

22628400 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 22628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36787080).

22628400 is an abundant number, since it is smaller than the sum of its proper divisors (50945760).

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

22628400 is a wasteful number, since it uses less digits than its factorization.

22628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22628400 is about 4756.9317842492. The cubic root of 22628400 is about 282.8468082571.

The spelling of 22628400 in words is "twenty-two million, six hundred twenty-eight thousand, four hundred".