27748 has 12 divisors (see below), whose sum is σ = 55552. Its totient is φ = 11880.

The previous prime is 27743. The next prime is 27749. The reversal of 27748 is 84772.

27748 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 991 = 27748 / (2 + 7 + 7 + 4 + 8).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (27743) 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 3 ways as a sum of consecutive naturals, for example, 468 + ... + 523.

2²⁷⁷⁴⁸ is an apocalyptic number.

27748 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27748 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27776).

27748 is a wasteful number, since it uses less digits than its factorization.

27748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 27748 is about 166.5773093792. The cubic root of 27748 is about 30.2745173819.

It can be divided in two parts, 277 and 48, that added together give a triangular number (325 = T₂₅).

The spelling of 27748 in words is "twenty-seven thousand, seven hundred forty-eight".