289312544 has 48 divisors (see below), whose sum is σ = 605011680. Its totient is φ = 135797760.

The previous prime is 289312537. The next prime is 289312549. The reversal of 289312544 is 445213982.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 289312498 and 289312507.

It is not an unprimeable number, because it can be changed into a prime (289312549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66599 + ... + 70809.

It is an arithmetic number, because the mean of its divisors is an integer number (12604410).

Almost surely, 2^289312544 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 289312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302505840).

289312544 is an abundant number, since it is smaller than the sum of its proper divisors (315699136).

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

289312544 is a wasteful number, since it uses less digits than its factorization.

289312544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353 (or 4345 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 289312544 is about 17009.1899865925. The cubic root of 289312544 is about 661.3871529142.

The spelling of 289312544 in words is "two hundred eighty-nine million, three hundred twelve thousand, five hundred forty-four".