28928 has 18 divisors (see below), whose sum is σ = 58254. Its totient is φ = 14336.

The previous prime is 28927. The next prime is 28933. The reversal of 28928 is 82982.

28928 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 16384 + 12544 = 128^2 + 112^2 .

28928 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 28928.

It is not an unprimeable number, because it can be changed into a prime (28921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200 + ... + 312.

2²⁸⁹²⁸ 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 28928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29127).

28928 is an abundant number, since it is smaller than the sum of its proper divisors (29326).

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

28928 is an equidigital number, since it uses as much as digits as its factorization.

28928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 28928 is about 170.0823330038. The cubic root of 28928 is about 30.6977211152.

The spelling of 28928 in words is "twenty-eight thousand, nine hundred twenty-eight".