22864128 has 72 divisors (see below), whose sum is σ = 69561408. Its totient is φ = 6531072.

The previous prime is 22864123. The next prime is 22864129. The reversal of 22864128 is 82146822.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22864123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3250 + ... + 7502.

Almost surely, 2^22864128 is an apocalyptic number.

22864128 is a gapful number since it is divisible by the number (28) 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 22864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34780704).

22864128 is an abundant number, since it is smaller than the sum of its proper divisors (46697280).

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

22864128 is an equidigital number, since it uses as much as digits as its factorization.

22864128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4265 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 22864128 is about 4781.6449052601. The cubic root of 22864128 is about 283.8255888717.

The spelling of 22864128 in words is "twenty-two million, eight hundred sixty-four thousand, one hundred twenty-eight".