28900 has 27 divisors (see below), whose sum is σ = 66619. Its totient is φ = 10880.
The previous prime is 28879. The next prime is 28901. The reversal of 28900 is 982.
The square root of 28900 is 170.
It is a perfect power (a square), and thus also a powerful number.
28900 is nontrivially palindromic in base 13.
It can be written as a sum of positive squares in 4 ways, for example, as 676 + 28224 = 26^2 + 168^2 .
It is a Duffinian number.
It is a nialpdrome in base 14.
It is not an unprimeable number, because it can be changed into a prime (28901) 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 8 ways as a sum of consecutive naturals, for example, 1692 + ... + 1708.
28900 is a Friedman number, since it can be written as (90+80)^2, using all its digits and the basic arithmetic operations.
228900 is an apocalyptic number.
28900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
28900 is the 170-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 28900
28900 is an abundant number, since it is smaller than the sum of its proper divisors (37719).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28900 is a wasteful number, since it uses less digits than its factorization.
28900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 19.
The cubic root of 28900 is about 30.6878136016.
Multiplying 28900 by its product of nonzero digits (144), we get a square (4161600 = 20402).
It can be divided in two parts, 28 and 900, that multiplied together give a triangular number (25200 = T224).
The spelling of 28900 in words is "twenty-eight thousand, nine hundred".
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