289564368 has 80 divisors (see below), whose sum is σ = 784830720. Its totient is φ = 91888128.

The previous prime is 289564357. The next prime is 289564369. The reversal of 289564368 is 863465982.

It is a self number, because there is not a number n which added to its sum of digits gives 289564368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289564369) 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 15 ways as a sum of consecutive naturals, for example, 81738 + ... + 85206.

It is an arithmetic number, because the mean of its divisors is an integer number (9810384).

Almost surely, 2^289564368 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 289564368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392415360).

289564368 is an abundant number, since it is smaller than the sum of its proper divisors (495266352).

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

289564368 is a wasteful number, since it uses less digits than its factorization.

289564368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3558 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 289564368 is about 17016.5909629397. The cubic root of 289564368 is about 661.5789925715.

The spelling of 289564368 in words is "two hundred eighty-nine million, five hundred sixty-four thousand, three hundred sixty-eight".