289808982 has 64 divisors (see below), whose sum is σ = 662904000. Its totient is φ = 93809664.

The previous prime is 289808963. The next prime is 289808989.

289808982 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289808989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311494 + ... + 312422.

It is an arithmetic number, because the mean of its divisors is an integer number (10357875).

Almost surely, 2^289808982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289808982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331452000).

289808982 is an abundant number, since it is smaller than the sum of its proper divisors (373095018).

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

289808982 is a wasteful number, since it uses less digits than its factorization.

289808982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 289808982 is about 17023.7769604750. The cubic root of 289808982 is about 661.7652331834.

The spelling of 289808982 in words is "two hundred eighty-nine million, eight hundred eight thousand, nine hundred eighty-two".