22228128 has 96 divisors (see below), whose sum is σ = 69854400. Its totient is φ = 6835968.

The previous prime is 22228127. The next prime is 22228139. The reversal of 22228128 is 82182222.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (22228127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10243 + ... + 12221.

It is an arithmetic number, because the mean of its divisors is an integer number (727650).

Almost surely, 2^22228128 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 22228128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34927200).

22228128 is an abundant number, since it is smaller than the sum of its proper divisors (47626272).

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

22228128 is a wasteful number, since it uses less digits than its factorization.

22228128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1997 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 22228128 is about 4714.6715686249. The cubic root of 22228128 is about 281.1691251907.

It can be divided in two parts, 22 and 228128, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 22228128 in words is "twenty-two million, two hundred twenty-eight thousand, one hundred twenty-eight".