27938064 has 80 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 7255680.

The previous prime is 27938059. The next prime is 27938111. The reversal of 27938064 is 46083972.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84 + ... + 7475.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^27938064 is an apocalyptic number.

27938064 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 27938064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

27938064 is an abundant number, since it is smaller than the sum of its proper divisors (62056176).

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

27938064 is a wasteful number, since it uses less digits than its factorization.

27938064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7588 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 27938064 is about 5285.6469802665. The cubic root of 27938064 is about 303.4348340702.

The spelling of 27938064 in words is "twenty-seven million, nine hundred thirty-eight thousand, sixty-four".