22960128 has 96 divisors (see below), whose sum is σ = 63488880. Its totient is φ = 7372800.

The previous prime is 22960127. The next prime is 22960129. The reversal of 22960128 is 82106922.

It is an interprime number because it is at equal distance from previous prime (22960127) and next prime (22960129).

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

It is a junction number, because it is equal to n+sod(n) for n = 22960095 and 22960104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22960121) 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, 227278 + ... + 227378.

Almost surely, 2^22960128 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 22960128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31744440).

22960128 is an abundant number, since it is smaller than the sum of its proper divisors (40528752).

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

22960128 is a wasteful number, since it uses less digits than its factorization.

22960128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 22960128 is about 4791.6727768077. The cubic root of 22960128 is about 284.2222686362. Note that the first 4 decimals are identical.

The spelling of 22960128 in words is "twenty-two million, nine hundred sixty thousand, one hundred twenty-eight".