28116 has 36 divisors (see below), whose sum is σ = 78624. Its totient is φ = 8400.

The previous prime is 28111. The next prime is 28123. The reversal of 28116 is 61182.

28116 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28111) 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, 361 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2²⁸¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

28116 is an abundant number, since it is smaller than the sum of its proper divisors (50508).

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

28116 is a wasteful number, since it uses less digits than its factorization.

28116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 87 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 28116 is about 167.6782633498. The cubic root of 28116 is about 30.4077657907.

Adding to 28116 its reverse (61182), we get a palindrome (89298).

It can be divided in two parts, 28 and 116, that added together give a square (144 = 12²).

The spelling of 28116 in words is "twenty-eight thousand, one hundred sixteen".