27948 has 24 divisors (see below), whose sum is σ = 69552. Its totient is φ = 8704.

The previous prime is 27947. The next prime is 27953. The reversal of 27948 is 84972.

27948 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 6 and base 15.

It is not an unprimeable number, because it can be changed into a prime (27941) 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, 136 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (2898).

2²⁷⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34776).

27948 is an abundant number, since it is smaller than the sum of its proper divisors (41604).

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

27948 is a wasteful number, since it uses less digits than its factorization.

27948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 27948 is about 167.1765533800. The cubic root of 27948 is about 30.3470801382.

The spelling of 27948 in words is "twenty-seven thousand, nine hundred forty-eight".