28791 has 12 divisors (see below), whose sum is σ = 47632. Its totient is φ = 16416.

The previous prime is 28789. The next prime is 28793. The reversal of 28791 is 19782.

28791 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (28789) and next prime (28793).

It is not a de Polignac number, because 28791 - 2¹ = 28789 is a prime.

It is a Duffinian number.

28791 is a lucky number.

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 28791.

It is not an unprimeable number, because it can be changed into a prime (28793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166 + ... + 291.

2²⁸⁷⁹¹ is an apocalyptic number.

28791 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

28791 is a deficient number, since it is larger than the sum of its proper divisors (18841).

28791 is a wasteful number, since it uses less digits than its factorization.

28791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 467 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 28791 is about 169.6791089086. The cubic root of 28791 is about 30.6491840071.

Subtracting from 28791 its reverse (19782), we obtain a palindrome (9009).

It can be divided in two parts, 287 and 91, that added together give a triangular number (378 = T₂₇).

The spelling of 28791 in words is "twenty-eight thousand, seven hundred ninety-one".