27032768 has 56 divisors (see below), whose sum is σ = 62130432. Its totient is φ = 11430144.

The previous prime is 27032743. The next prime is 27032779. The reversal of 27032768 is 86723072.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 2.

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, 36821 + ... + 37547.

It is an arithmetic number, because the mean of its divisors is an integer number (1109472).

Almost surely, 2^27032768 is an apocalyptic number.

27032768 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 27032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31065216).

27032768 is an abundant number, since it is smaller than the sum of its proper divisors (35097664).

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

27032768 is an equidigital number, since it uses as much as digits as its factorization.

27032768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 27032768 is about 5199.3045688823. The cubic root of 27032768 is about 300.1213138995.

The spelling of 27032768 in words is "twenty-seven million, thirty-two thousand, seven hundred sixty-eight".