22610728 has 32 divisors (see below), whose sum is σ = 49124160. Its totient is φ = 9555840.

The previous prime is 22610723. The next prime is 22610729. The reversal of 22610728 is 82701622.

It is a super-2 number, since 2×22610728² = 1022490041379968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22610696 and 22610705.

It is not an unprimeable number, because it can be changed into a prime (22610723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1323 + ... + 6853.

It is an arithmetic number, because the mean of its divisors is an integer number (1535130).

Almost surely, 2^22610728 is an apocalyptic number.

22610728 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 22610728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24562080).

22610728 is an abundant number, since it is smaller than the sum of its proper divisors (26513432).

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

22610728 is a wasteful number, since it uses less digits than its factorization.

22610728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 22610728 is about 4755.0739216126. The cubic root of 22610728 is about 282.7731578801.

The spelling of 22610728 in words is "twenty-two million, six hundred ten thousand, seven hundred twenty-eight".