27813688 has 32 divisors (see below), whose sum is σ = 60364800. Its totient is φ = 11767392.

The previous prime is 27813671. The next prime is 27813691. The reversal of 27813688 is 88631872.

It is a happy number.

It is a super-2 number, since 2×27813688² = 1547202480322688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1281 + ... + 7567.

It is an arithmetic number, because the mean of its divisors is an integer number (1886400).

Almost surely, 2^27813688 is an apocalyptic number.

27813688 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 27813688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30182400).

27813688 is an abundant number, since it is smaller than the sum of its proper divisors (32551112).

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

27813688 is a wasteful number, since it uses less digits than its factorization.

27813688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6375 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 27813688 is about 5273.8684094315. The cubic root of 27813688 is about 302.9838823495.

The spelling of 27813688 in words is "twenty-seven million, eight hundred thirteen thousand, six hundred eighty-eight".