22400928 has 96 divisors (see below), whose sum is σ = 71305920. Its totient is φ = 6785280.

The previous prime is 22400923. The next prime is 22400929. The reversal of 22400928 is 82900422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22400928² = 1003603150522368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22400921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8326 + ... + 10682.

It is an arithmetic number, because the mean of its divisors is an integer number (742770).

Almost surely, 2^22400928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35652960).

22400928 is an abundant number, since it is smaller than the sum of its proper divisors (48904992).

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

22400928 is a wasteful number, since it uses less digits than its factorization.

22400928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22400928 is about 4732.9618633579. The cubic root of 22400928 is about 281.8958420224.

The spelling of 22400928 in words is "twenty-two million, four hundred thousand, nine hundred twenty-eight".