289867344 has 160 divisors (see below), whose sum is σ = 886609920. Its totient is φ = 80745984.

The previous prime is 289867309. The next prime is 289867349. The reversal of 289867344 is 443768982.

It is a super-2 number, since 2×289867344² = 168046154235228672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289867349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272157 + ... + 273219.

It is an arithmetic number, because the mean of its divisors is an integer number (5541312).

Almost surely, 2^289867344 is an apocalyptic number.

289867344 is a gapful number since it is divisible by the number (24) 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 289867344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443304960).

289867344 is an abundant number, since it is smaller than the sum of its proper divisors (596742576).

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

289867344 is a wasteful number, since it uses less digits than its factorization.

289867344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1123 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 289867344 is about 17025.4910061355. The cubic root of 289867344 is about 661.8096524994.

The spelling of 289867344 in words is "two hundred eighty-nine million, eight hundred sixty-seven thousand, three hundred forty-four".