289430928 has 80 divisors (see below), whose sum is σ = 839460160. Its totient is φ = 95468544.

The previous prime is 289430917. The next prime is 289430959. The reversal of 289430928 is 829034982.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38451 + ... + 45357.

It is an arithmetic number, because the mean of its divisors is an integer number (10493252).

Almost surely, 2^289430928 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 289430928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419730080).

289430928 is an abundant number, since it is smaller than the sum of its proper divisors (550029232).

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

289430928 is a wasteful number, since it uses less digits than its factorization.

289430928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 289430928 is about 17012.6696317774. The cubic root of 289430928 is about 661.4773517680.

The spelling of 289430928 in words is "two hundred eighty-nine million, four hundred thirty thousand, nine hundred twenty-eight".