22628320 has 192 divisors, whose sum is σ = 67060224. Its totient is φ = 7096320.

The previous prime is 22628317. The next prime is 22628327. The reversal of 22628320 is 2382622.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22628327) 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, 526219 + ... + 526261.

It is an arithmetic number, because the mean of its divisors is an integer number (349272).

Almost surely, 2^22628320 is an apocalyptic number.

22628320 is a gapful number since it is divisible by the number (20) 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 22628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530112).

22628320 is an abundant number, since it is smaller than the sum of its proper divisors (44431904).

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

22628320 is a wasteful number, since it uses less digits than its factorization.

22628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 22628320 is about 4756.9233754602. The cubic root of 22628320 is about 282.8464749330.

The spelling of 22628320 in words is "twenty-two million, six hundred twenty-eight thousand, three hundred twenty".