28842 has 32 divisors (see below), whose sum is σ = 69120. Its totient is φ = 7920.

The previous prime is 28837. The next prime is 28843. The reversal of 28842 is 24882.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28842.

It is not an unprimeable number, because it can be changed into a prime (28843) 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 15 ways as a sum of consecutive naturals, for example, 1243 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2²⁸⁸⁴² is an apocalyptic number.

28842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560).

28842 is an abundant number, since it is smaller than the sum of its proper divisors (40278).

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

28842 is a wasteful number, since it uses less digits than its factorization.

28842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58.

The product of its digits is 1024, while the sum is 24.

The square root of 28842 is about 169.8293260895. The cubic root of 28842 is about 30.6672705195.

The spelling of 28842 in words is "twenty-eight thousand, eight hundred forty-two".