289830688 has 144 divisors (see below), whose sum is σ = 716706144. Its totient is φ = 114616320.

The previous prime is 289830683. The next prime is 289830701. The reversal of 289830688 is 886038982.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (289830683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2212383 + ... + 2212513.

It is an arithmetic number, because the mean of its divisors is an integer number (4977126).

Almost surely, 2^289830688 is an apocalyptic number.

289830688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289830688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358353072).

289830688 is an abundant number, since it is smaller than the sum of its proper divisors (426875456).

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

289830688 is a wasteful number, since it uses less digits than its factorization.

289830688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The square root of 289830688 is about 17024.4144686389. The cubic root of 289830688 is about 661.7817543156.

The spelling of 289830688 in words is "two hundred eighty-nine million, eight hundred thirty thousand, six hundred eighty-eight".