27828 has 18 divisors (see below), whose sum is σ = 70434. Its totient is φ = 9264.

The previous prime is 27827. The next prime is 27847. The reversal of 27828 is 82872.

27828 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 10404 = 132^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 351 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (3913).

2²⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

27828 is an abundant number, since it is smaller than the sum of its proper divisors (42606).

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

27828 is a wasteful number, since it uses less digits than its factorization.

27828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 778 counting only the distinct ones).

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

The square root of 27828 is about 166.8172652935. The cubic root of 27828 is about 30.3035841919.

The spelling of 27828 in words is "twenty-seven thousand, eight hundred twenty-eight".