22285728 has 72 divisors (see below), whose sum is σ = 63842688. Its totient is φ = 7373952.

The previous prime is 22285723. The next prime is 22285733. The reversal of 22285728 is 82758222.

It is an interprime number because it is at equal distance from previous prime (22285723) and next prime (22285733).

It is a tau number, because it is divible by the number of its divisors (72).

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 = 22285692 and 22285701.

It is not an unprimeable number, because it can be changed into a prime (22285721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64051 + ... + 64397.

It is an arithmetic number, because the mean of its divisors is an integer number (886704).

Almost surely, 2^22285728 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 22285728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31921344).

22285728 is an abundant number, since it is smaller than the sum of its proper divisors (41556960).

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

22285728 is a wasteful number, since it uses less digits than its factorization.

22285728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 22285728 is about 4720.7762073625. The cubic root of 22285728 is about 281.4117812923.

The spelling of 22285728 in words is "twenty-two million, two hundred eighty-five thousand, seven hundred twenty-eight".