289882008 has 96 divisors (see below), whose sum is σ = 848920800. Its totient is φ = 88833024.

The previous prime is 289882007. The next prime is 289882009. The reversal of 289882008 is 800288982.

It is an interprime number because it is at equal distance from previous prime (289882007) and next prime (289882009).

It is a super-2 number, since 2×289882008² = 168063157124224128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289882001) 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, 314973 + ... + 315891.

It is an arithmetic number, because the mean of its divisors is an integer number (8842925).

Almost surely, 2^289882008 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 289882008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424460400).

289882008 is an abundant number, since it is smaller than the sum of its proper divisors (559038792).

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

289882008 is a wasteful number, since it uses less digits than its factorization.

289882008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 289882008 is about 17025.9216490621. The cubic root of 289882008 is about 661.8208123320.

The spelling of 289882008 in words is "two hundred eighty-nine million, eight hundred eighty-two thousand, eight".