28792 has 16 divisors (see below), whose sum is σ = 55800. Its totient is φ = 13920.

The previous prime is 28789. The next prime is 28793. The reversal of 28792 is 29782.

28792 is nontrivially palindromic in base 7.

It is an Ulam number.

Its product of digits (2016) is a multiple of the sum of its prime factors (126).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 28792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28793) 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, 442 + ... + 502.

2²⁸⁷⁹² is an apocalyptic number.

It is an amenable number.

28792 is a deficient number, since it is larger than the sum of its proper divisors (27008).

28792 is a wasteful number, since it uses less digits than its factorization.

28792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 28792 is about 169.6820556217. The cubic root of 28792 is about 30.6495388498.

Subtracting 28792 from its reverse (29782), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 28 and 792, that added together give a triangular number (820 = T₄₀).

The spelling of 28792 in words is "twenty-eight thousand, seven hundred ninety-two".