22328768 has 112 divisors (see below), whose sum is σ = 57936384. Its totient is φ = 8279040.

The previous prime is 22328731. The next prime is 22328771. The reversal of 22328768 is 86782322.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×22328768³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113246 + ... + 113442.

Almost surely, 2^22328768 is an apocalyptic number.

22328768 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 22328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28968192).

22328768 is an abundant number, since it is smaller than the sum of its proper divisors (35607616).

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

22328768 is a wasteful number, since it uses less digits than its factorization.

22328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 22328768 is about 4725.3325808878. The cubic root of 22328768 is about 281.5928265218.

The spelling of 22328768 in words is "twenty-two million, three hundred twenty-eight thousand, seven hundred sixty-eight".