28827 has 6 divisors (see below), whose sum is σ = 41652. Its totient is φ = 19212.

The previous prime is 28817. The next prime is 28837. The reversal of 28827 is 72882.

28827 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (28817) and next prime (28837).

It is not a de Polignac number, because 28827 - 2⁸ = 28571 is a prime.

28827 is a lucky number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 28827.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28827.

It is not an unprimeable number, because it can be changed into a prime (28807) 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, 1593 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (6942).

2²⁸⁸²⁷ is an apocalyptic number.

28827 is a deficient number, since it is larger than the sum of its proper divisors (12825).

28827 is a wasteful number, since it uses less digits than its factorization.

28827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3206 counting only the distinct ones).

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

The square root of 28827 is about 169.7851583620. The cubic root of 28827 is about 30.6619531718.

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

The spelling of 28827 in words is "twenty-eight thousand, eight hundred twenty-seven".