22828800 has 216 divisors, whose sum is σ = 79838640. Its totient is φ = 5734400.

The previous prime is 22828763. The next prime is 22828801. The reversal of 22828800 is 882822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22828801) 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, 556780 + ... + 556820.

Almost surely, 2^22828800 is an apocalyptic number.

22828800 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 22828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39919320).

22828800 is an abundant number, since it is smaller than the sum of its proper divisors (57009840).

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

22828800 is a wasteful number, since it uses less digits than its factorization.

22828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 22828800 is about 4777.9493509245. The cubic root of 22828800 is about 283.6793312468.

The spelling of 22828800 in words is "twenty-two million, eight hundred twenty-eight thousand, eight hundred".