22886928 has 80 divisors (see below), whose sum is σ = 67852800. Its totient is φ = 7378560.

The previous prime is 22886923. The next prime is 22886951. The reversal of 22886928 is 82968822.

It is a super-2 number, since 2×22886928² = 1047622946554368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22886923) by changing a digit.

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, 12538 + ... + 14246.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^22886928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22886928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33926400).

22886928 is an abundant number, since it is smaller than the sum of its proper divisors (44965872).

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

22886928 is a wasteful number, since it uses less digits than its factorization.

22886928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1745 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 22886928 is about 4784.0284280092. The cubic root of 22886928 is about 283.9199007066.

It can be divided in two parts, 2288 and 6928, that added together give a square (9216 = 96²).

The spelling of 22886928 in words is "twenty-two million, eight hundred eighty-six thousand, nine hundred twenty-eight".