289120320 has 224 divisors, whose sum is σ = 1032662400. Its totient is φ = 76142592.

The previous prime is 289120303. The next prime is 289120357. The reversal of 289120320 is 23021982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941607 + ... + 941913.

It is an arithmetic number, because the mean of its divisors is an integer number (4610100).

Almost surely, 2^289120320 is an apocalyptic number.

289120320 is a gapful number since it is divisible by the number (20) 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 289120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516331200).

289120320 is an abundant number, since it is smaller than the sum of its proper divisors (743542080).

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

289120320 is a wasteful number, since it uses less digits than its factorization.

289120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 289120320 is about 17003.5384552745. The cubic root of 289120320 is about 661.2406416368.

The spelling of 289120320 in words is "two hundred eighty-nine million, one hundred twenty thousand, three hundred twenty".