22948128 has 72 divisors (see below), whose sum is σ = 74587968. Its totient is φ = 6556032.

The previous prime is 22948127. The next prime is 22948129. The reversal of 22948128 is 82184922.

It is an interprime number because it is at equal distance from previous prime (22948127) and next prime (22948129).

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 22948092 and 22948101.

It is not an unprimeable number, because it can be changed into a prime (22948127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3676 + ... + 7707.

It is an arithmetic number, because the mean of its divisors is an integer number (1035944).

Almost surely, 2^22948128 is an apocalyptic number.

22948128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22948128 is an abundant number, since it is smaller than the sum of its proper divisors (51639840).

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

22948128 is a wasteful number, since it uses less digits than its factorization.

22948128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11406 (or 11395 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 22948128 is about 4790.4204408382. The cubic root of 22948128 is about 284.1727442087.

The spelling of 22948128 in words is "twenty-two million, nine hundred forty-eight thousand, one hundred twenty-eight".