27888 has 40 divisors (see below), whose sum is σ = 83328. Its totient is φ = 7872.

The previous prime is 27883. The next prime is 27893. The reversal of 27888 is 88872.

It is a Cunningham number, because it is equal to 167²-1.

It is an interprime number because it is at equal distance from previous prime (27883) and next prime (27893).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27888.

It is not an unprimeable number, because it can be changed into a prime (27883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295 + ... + 377.

2²⁷⁸⁸⁸ is an apocalyptic number.

27888 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 27888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

27888 is an abundant number, since it is smaller than the sum of its proper divisors (55440).

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

27888 is a wasteful number, since it uses less digits than its factorization.

27888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 27888 is about 166.9970059612. The cubic root of 27888 is about 30.3253477617.

The spelling of 27888 in words is "twenty-seven thousand, eight hundred eighty-eight".