27767968 has 48 divisors (see below), whose sum is σ = 58212000. Its totient is φ = 13001472.

The previous prime is 27767963. The next prime is 27767983. The reversal of 27767968 is 86976772.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27767963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66063 + ... + 66481.

It is an arithmetic number, because the mean of its divisors is an integer number (1212750).

Almost surely, 2^27767968 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 27767968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29106000).

27767968 is an abundant number, since it is smaller than the sum of its proper divisors (30444032).

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

27767968 is a wasteful number, since it uses less digits than its factorization.

27767968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 52.

The square root of 27767968 is about 5269.5320475352. The cubic root of 27767968 is about 302.8177768427.

The spelling of 27767968 in words is "twenty-seven million, seven hundred sixty-seven thousand, nine hundred sixty-eight".