289739258687328 has 96 divisors (see below), whose sum is σ = 769855869127296. Its totient is φ = 95400413948928.

The previous prime is 289739258687317. The next prime is 289739258687357. The reversal of 289739258687328 is 823786852937982.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45395851 + ... + 51383477.

It is an arithmetic number, because the mean of its divisors is an integer number (8019331970076).

Almost surely, 2^{289739258687328} 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 289739258687328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384927934563648).

289739258687328 is an abundant number, since it is smaller than the sum of its proper divisors (480116610439968).

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

289739258687328 is a wasteful number, since it uses less digits than its factorization.

289739258687328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993796 (or 5993788 counting only the distinct ones).

The product of its digits is 35115171840, while the sum is 87.

The spelling of 289739258687328 in words is "two hundred eighty-nine trillion, seven hundred thirty-nine billion, two hundred fifty-eight million, six hundred eighty-seven thousand, three hundred twenty-eight".