22628682400 has 72 divisors (see below), whose sum is σ = 55382197500. Its totient is φ = 9028546560.

The previous prime is 22628682353. The next prime is 22628682421. The reversal of 22628682400 is 428682622.

It can be written as a sum of positive squares in 6 ways, for example, as 16081283344 + 6547399056 = 126812^2 + 80916^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281976 + ... + 353224.

Almost surely, 2^22628682400 is an apocalyptic number.

22628682400 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 22628682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27691098750).

22628682400 is an abundant number, since it is smaller than the sum of its proper divisors (32753515100).

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

22628682400 is a wasteful number, since it uses less digits than its factorization.

22628682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71666 (or 71653 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 22628682400 in words is "twenty-two billion, six hundred twenty-eight million, six hundred eighty-two thousand, four hundred".