27949568 has 40 divisors (see below), whose sum is σ = 56633280. Its totient is φ = 13777920.

The previous prime is 27949561. The next prime is 27949601. The reversal of 27949568 is 86594972.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27949561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40103 + ... + 40793.

It is an arithmetic number, because the mean of its divisors is an integer number (1415832).

Almost surely, 2^27949568 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 27949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28316640).

27949568 is an abundant number, since it is smaller than the sum of its proper divisors (28683712).

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

27949568 is an frugal number, since it uses more digits than its factorization.

27949568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 772 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 50.

The square root of 27949568 is about 5286.7350983381. The cubic root of 27949568 is about 303.4764766040.

The spelling of 27949568 in words is "twenty-seven million, nine hundred forty-nine thousand, five hundred sixty-eight".