289840768 has 64 divisors (see below), whose sum is σ = 670849920. Its totient is φ = 122158080.

The previous prime is 289840757. The next prime is 289840777. The reversal of 289840768 is 867048982.

289840768 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 (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 52005 + ... + 57307.

It is an arithmetic number, because the mean of its divisors is an integer number (10482030).

Almost surely, 2^289840768 is an apocalyptic number.

289840768 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 289840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335424960).

289840768 is an abundant number, since it is smaller than the sum of its proper divisors (381009152).

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

289840768 is an equidigital number, since it uses as much as digits as its factorization.

289840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The square root of 289840768 is about 17024.7105114889. The cubic root of 289840768 is about 661.7894262462.

The spelling of 289840768 in words is "two hundred eighty-nine million, eight hundred forty thousand, seven hundred sixty-eight".