28788 has 12 divisors (see below), whose sum is σ = 67200. Its totient is φ = 9592.

The previous prime is 28771. The next prime is 28789. The reversal of 28788 is 88782.

28788 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

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 28788.

It is not an unprimeable number, because it can be changed into a prime (28789) 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, 1188 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

2²⁸⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

28788 is an abundant number, since it is smaller than the sum of its proper divisors (38412).

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 (33600).

28788 is a wasteful number, since it uses less digits than its factorization.

28788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2404 counting only the distinct ones).

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

The square root of 28788 is about 169.6702684621. The cubic root of 28788 is about 30.6481194297.

It can be divided in two parts, 2 and 8788, that multiplied together give a cube (17576 = 26³).

The spelling of 28788 in words is "twenty-eight thousand, seven hundred eighty-eight".