289928 has 8 divisors (see below), whose sum is σ = 543630. Its totient is φ = 144960.

The previous prime is 289897. The next prime is 289937. The reversal of 289928 is 829982.

289928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 289444 + 484 = 538^2 + 22^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 289891 and 289900.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289928.

It is an unprimeable number.

289928 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 18113 + ... + 18128.

2²⁸⁹⁹²⁸ is an apocalyptic number.

It is an amenable number.

289928 is a deficient number, since it is larger than the sum of its proper divisors (253702).

289928 is a wasteful number, since it uses less digits than its factorization.

289928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36247 (or 36243 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 289928 is about 538.4496262419. The cubic root of 289928 is about 66.1855811461.

The spelling of 289928 in words is "two hundred eighty-nine thousand, nine hundred twenty-eight".