289828 has 24 divisors (see below), whose sum is σ = 633024. Its totient is φ = 112800.

The previous prime is 289789. The next prime is 289837. The reversal of 289828 is 828982.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 163 + ... + 778.

It is an arithmetic number, because the mean of its divisors is an integer number (26376).

2²⁸⁹⁸²⁸ is an apocalyptic number.

289828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

289828 is an abundant number, since it is smaller than the sum of its proper divisors (343196).

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

289828 is a wasteful number, since it uses less digits than its factorization.

289828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 961 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 289828 is about 538.3567590362. The cubic root of 289828 is about 66.1779708437.

It can be divided in two parts, 2898 and 28, that added together give a triangular number (2926 = T₇₆).

The spelling of 289828 in words is "two hundred eighty-nine thousand, eight hundred twenty-eight".