27228320 has 144 divisors (see below), whose sum is σ = 78599808. Its totient is φ = 8870400.

The previous prime is 27228319. The next prime is 27228347. The reversal of 27228320 is 2382272.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27228320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180245 + ... + 180395.

It is an arithmetic number, because the mean of its divisors is an integer number (545832).

Almost surely, 2^27228320 is an apocalyptic number.

27228320 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 27228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39299904).

27228320 is an abundant number, since it is smaller than the sum of its proper divisors (51371488).

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

27228320 is a wasteful number, since it uses less digits than its factorization.

27228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 27228320 is about 5218.0762738772. The cubic root of 27228320 is about 300.8432571335.

The spelling of 27228320 in words is "twenty-seven million, two hundred twenty-eight thousand, three hundred twenty".