27738984 has 96 divisors (see below), whose sum is σ = 85907520. Its totient is φ = 7308288.

The previous prime is 27738967. The next prime is 27739007. The reversal of 27738984 is 48983772.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27904 + ... + 28880.

It is an arithmetic number, because the mean of its divisors is an integer number (894870).

Almost surely, 2^27738984 is an apocalyptic number.

27738984 is a gapful number since it is divisible by the number (24) 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 27738984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42953760).

27738984 is an abundant number, since it is smaller than the sum of its proper divisors (58168536).

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

27738984 is a wasteful number, since it uses less digits than its factorization.

27738984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1002 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 27738984 is about 5266.7811801897. The cubic root of 27738984 is about 302.7123805102.

The spelling of 27738984 in words is "twenty-seven million, seven hundred thirty-eight thousand, nine hundred eighty-four".