22128768 has 128 divisors (see below), whose sum is σ = 68952000. Its totient is φ = 6967296.

The previous prime is 22128767. The next prime is 22128779. The reversal of 22128768 is 86782122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22128767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65496 + ... + 65832.

Almost surely, 2^22128768 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 22128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34476000).

22128768 is an abundant number, since it is smaller than the sum of its proper divisors (46823232).

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

22128768 is a wasteful number, since it uses less digits than its factorization.

22128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 22128768 is about 4704.1224473859. The cubic root of 22128768 is about 280.7495562831.

The spelling of 22128768 in words is "twenty-two million, one hundred twenty-eight thousand, seven hundred sixty-eight".