28137 has 8 divisors (see below), whose sum is σ = 38304. Its totient is φ = 18368.

The previous prime is 28123. The next prime is 28151. The reversal of 28137 is 73182.

It is an interprime number because it is at equal distance from previous prime (28123) and next prime (28151).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-28137 is a prime.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28137.

It is not an unprimeable number, because it can be changed into a prime (28537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2²⁸¹³⁷ is an apocalyptic number.

It is an amenable number.

28137 is a deficient number, since it is larger than the sum of its proper divisors (10167).

28137 is a wasteful number, since it uses less digits than its factorization.

28137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199.

The product of its digits is 336, while the sum is 21.

The square root of 28137 is about 167.7408715847. The cubic root of 28137 is about 30.4153344843.

It can be divided in two parts, 2813 and 7, that multiplied together give a palindrome (19691).

The spelling of 28137 in words is "twenty-eight thousand, one hundred thirty-seven".