27808272 has 100 divisors (see below), whose sum is σ = 82522000. Its totient is φ = 9035712.

The previous prime is 27808247. The next prime is 27808279. The reversal of 27808272 is 27280872.

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

It is not an unprimeable number, because it can be changed into a prime (27808279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55479 + ... + 55977.

It is an arithmetic number, because the mean of its divisors is an integer number (825220).

Almost surely, 2^27808272 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 27808272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41261000).

27808272 is an abundant number, since it is smaller than the sum of its proper divisors (54713728).

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

27808272 is a wasteful number, since it uses less digits than its factorization.

27808272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 27808272 is about 5273.3549093532. The cubic root of 27808272 is about 302.9642149681.

The spelling of 27808272 in words is "twenty-seven million, eight hundred eight thousand, two hundred seventy-two".