22133628 has 96 divisors (see below), whose sum is σ = 64727040. Its totient is φ = 6480000.

The previous prime is 22133627. The next prime is 22133633. The reversal of 22133628 is 82633122.

22133628 is a `hidden beast` number, since 2 + 2 + 1 + 33 + 628 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133621) 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, 36528 + ... + 37128.

It is an arithmetic number, because the mean of its divisors is an integer number (674240).

Almost surely, 2^22133628 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 22133628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32363520).

22133628 is an abundant number, since it is smaller than the sum of its proper divisors (42593412).

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

22133628 is a wasteful number, since it uses less digits than its factorization.

22133628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 22133628 is about 4704.6389872125. The cubic root of 22133628 is about 280.7701078560.

The spelling of 22133628 in words is "twenty-two million, one hundred thirty-three thousand, six hundred twenty-eight".