22286628 has 72 divisors (see below), whose sum is σ = 69346368. Its totient is φ = 5876928.

The previous prime is 22286603. The next prime is 22286689. The reversal of 22286628 is 82668222.

22286628 is a `hidden beast` number, since 2 + 2 + 28 + 6 + 628 = 666.

It is a super-2 number, since 2×22286628² = 993387575220768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22286592 and 22286601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126 + ... + 6677.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 2^22286628 is an apocalyptic number.

22286628 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 22286628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673184).

22286628 is an abundant number, since it is smaller than the sum of its proper divisors (47059740).

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

22286628 is a wasteful number, since it uses less digits than its factorization.

22286628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833 (or 6828 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 22286628 is about 4720.8715297072. The cubic root of 22286628 is about 281.4155694745.

The spelling of 22286628 in words is "twenty-two million, two hundred eighty-six thousand, six hundred twenty-eight".