22828320 has 144 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 5982720.

The previous prime is 22828303. The next prime is 22828321. The reversal of 22828320 is 2382822.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×22828320² = 1042264388044800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22828321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119425 + ... + 119615.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 2^22828320 is an apocalyptic number.

22828320 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 22828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

22828320 is an abundant number, since it is smaller than the sum of its proper divisors (56424672).

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

22828320 is a wasteful number, since it uses less digits than its factorization.

22828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22828320 is about 4777.8991199062. The cubic root of 22828320 is about 283.6773430122.

The spelling of 22828320 in words is "twenty-two million, eight hundred twenty-eight thousand, three hundred twenty".