27288 has 24 divisors (see below), whose sum is σ = 74100. Its totient is φ = 9072.

The previous prime is 27283. The next prime is 27299. The reversal of 27288 is 88272.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118 + ... + 261.

2²⁷²⁸⁸ is an apocalyptic number.

It is an amenable number.

27288 is an abundant number, since it is smaller than the sum of its proper divisors (46812).

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

27288 is a wasteful number, since it uses less digits than its factorization.

27288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 27288 is about 165.1907987752. The cubic root of 27288 is about 30.1062896390.

Subtracting from 27288 its sum of digits (27), we obtain a triangular number (27261 = T₂₃₃).

It can be divided in two parts, 27 and 288, that multiplied together give a 5-th power (7776 = 6⁵).

The spelling of 27288 in words is "twenty-seven thousand, two hundred eighty-eight".