289882368 has 144 divisors (see below), whose sum is σ = 908026560. Its totient is φ = 90906624.

The previous prime is 289882361. The next prime is 289882381. The reversal of 289882368 is 863288982.

289882368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (289882361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116271 + ... + 118737.

It is an arithmetic number, because the mean of its divisors is an integer number (6305740).

Almost surely, 2^289882368 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 289882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454013280).

289882368 is an abundant number, since it is smaller than the sum of its proper divisors (618144192).

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

289882368 is a wasteful number, since it uses less digits than its factorization.

289882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2489 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 289882368 is about 17025.9322211737. The cubic root of 289882368 is about 661.8210863002.

The spelling of 289882368 in words is "two hundred eighty-nine million, eight hundred eighty-two thousand, three hundred sixty-eight".