22128288 has 192 divisors, whose sum is σ = 76204800. Its totient is φ = 5455872.

The previous prime is 22128287. The next prime is 22128289. The reversal of 22128288 is 88282122.

It is an interprime number because it is at equal distance from previous prime (22128287) and next prime (22128289).

It is a super-2 number, since 2×22128288² = 979322259621888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22128283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148438 + ... + 148586.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^22128288 is an apocalyptic number.

22128288 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 22128288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

22128288 is an abundant number, since it is smaller than the sum of its proper divisors (54076512).

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

22128288 is a wasteful number, since it uses less digits than its factorization.

22128288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 22128288 is about 4704.0714280291. The cubic root of 22128288 is about 280.7475263349.

The spelling of 22128288 in words is "twenty-two million, one hundred twenty-eight thousand, two hundred eighty-eight".