28692 has 18 divisors (see below), whose sum is σ = 72618. Its totient is φ = 9552.

The previous prime is 28687. The next prime is 28697. The reversal of 28692 is 29682.

It is an interprime number because it is at equal distance from previous prime (28687) and next prime (28697).

It can be written as a sum of positive squares in only one way, i.e., 24336 + 4356 = 156^2 + 66^2 .

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

It is a nialpdrome in base 9.

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 28692.

It is not an unprimeable number, because it can be changed into a prime (28697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 363 + ... + 434.

2²⁸⁶⁹² is an apocalyptic number.

It is an amenable number.

28692 is an abundant number, since it is smaller than the sum of its proper divisors (43926).

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

28692 is a wasteful number, since it uses less digits than its factorization.

28692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 802 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 28692 is about 169.3871305619. The cubic root of 28692 is about 30.6140138298.

Subtracting 28692 from its reverse (29682), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 286 and 92, that added together give a triangular number (378 = T₂₇).

The spelling of 28692 in words is "twenty-eight thousand, six hundred ninety-two".