27947808 has 96 divisors (see below), whose sum is σ = 93179520. Its totient is φ = 7983360.

The previous prime is 27947797. The next prime is 27947809. The reversal of 27947808 is 80874972.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (27947809) 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, 3738 + ... + 8358.

It is an arithmetic number, because the mean of its divisors is an integer number (970620).

Almost surely, 2^27947808 is an apocalyptic number.

27947808 is a gapful number since it is divisible by the number (28) 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 27947808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46589760).

27947808 is an abundant number, since it is smaller than the sum of its proper divisors (65231712).

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

27947808 is a wasteful number, since it uses less digits than its factorization.

27947808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 27947808 is about 5286.5686413779. The cubic root of 27947808 is about 303.4701064422.

The spelling of 27947808 in words is "twenty-seven million, nine hundred forty-seven thousand, eight hundred eight".