22805328 has 160 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 5727744.

The previous prime is 22805327. The next prime is 22805369. The reversal of 22805328 is 82350822.

It is a junction number, because it is equal to n+sod(n) for n = 22805295 and 22805304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22805323) 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, 100351 + ... + 100577.

Almost surely, 2^22805328 is an apocalyptic number.

22805328 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 22805328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

22805328 is an abundant number, since it is smaller than the sum of its proper divisors (53189808).

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

22805328 is a wasteful number, since it uses less digits than its factorization.

22805328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 22805328 is about 4775.4924353411. The cubic root of 22805328 is about 283.5820739139.

The spelling of 22805328 in words is "twenty-two million, eight hundred five thousand, three hundred twenty-eight".