27645228 has 72 divisors (see below), whose sum is σ = 79242800. Its totient is φ = 8055936.

The previous prime is 27645223. The next prime is 27645239. The reversal of 27645228 is 82254672.

27645228 is a `hidden beast` number, since 2 + 7 + 645 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27645192 and 27645201.

It is not an unprimeable number, because it can be changed into a prime (27645223) by changing a digit.

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, 7338 + ... + 10446.

Almost surely, 2^27645228 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 27645228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39621400).

27645228 is an abundant number, since it is smaller than the sum of its proper divisors (51597572).

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

27645228 is a wasteful number, since it uses less digits than its factorization.

27645228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3146 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 27645228 is about 5257.8729539615. The cubic root of 27645228 is about 302.3709460203.

The spelling of 27645228 in words is "twenty-seven million, six hundred forty-five thousand, two hundred twenty-eight".