22612128 has 288 divisors, whose sum is σ = 82736640. Its totient is φ = 5322240.

The previous prime is 22612111. The next prime is 22612129. The reversal of 22612128 is 82121622.

It is a super-2 number, since 2×22612128² = 1022616665376768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 22612098 and 22612107.

It is not an unprimeable number, because it can be changed into a prime (22612129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983125 + ... + 983147.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^22612128 is an apocalyptic number.

22612128 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 22612128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

22612128 is an abundant number, since it is smaller than the sum of its proper divisors (60124512).

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

22612128 is a wasteful number, since it uses less digits than its factorization.

22612128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 22612128 is about 4755.2211305049. The cubic root of 22612128 is about 282.7789939631.

The spelling of 22612128 in words is "twenty-two million, six hundred twelve thousand, one hundred twenty-eight".