22828089600 has 864 divisors, whose sum is σ = 93525264000. Its totient is φ = 5414584320.

The previous prime is 22828089539. The next prime is 22828089611. The reversal of 22828089600 is 698082822.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×22828089600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55814196 + ... + 55814604.

Almost surely, 2^22828089600 is an apocalyptic number.

22828089600 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 22828089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46762632000).

22828089600 is an abundant number, since it is smaller than the sum of its proper divisors (70697174400).

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

22828089600 is a wasteful number, since it uses less digits than its factorization.

22828089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 22828089600 in words is "twenty-two billion, eight hundred twenty-eight million, eighty-nine thousand, six hundred".