22788768 has 48 divisors (see below), whose sum is σ = 62427456. Its totient is φ = 7265280.

The previous prime is 22788767. The next prime is 22788797. The reversal of 22788768 is 86788722.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (22788761) 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 7 ways as a sum of consecutive naturals, for example, 2953 + ... + 7368.

It is an arithmetic number, because the mean of its divisors is an integer number (1300572).

Almost surely, 2^22788768 is an apocalyptic number.

It is an amenable number.

22788768 is an abundant number, since it is smaller than the sum of its proper divisors (39638688).

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

22788768 is a wasteful number, since it uses less digits than its factorization.

22788768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357 (or 10349 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 22788768 is about 4773.7582678640. The cubic root of 22788768 is about 283.5134166204.

The spelling of 22788768 in words is "twenty-two million, seven hundred eighty-eight thousand, seven hundred sixty-eight".