289441824 has 144 divisors (see below), whose sum is σ = 908264448. Its totient is φ = 80414208.

The previous prime is 289441819. The next prime is 289441849. The reversal of 289441824 is 428144982.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173217 + ... + 174879.

It is an arithmetic number, because the mean of its divisors is an integer number (6307392).

Almost surely, 2^289441824 is an apocalyptic number.

289441824 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 289441824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454132224).

289441824 is an abundant number, since it is smaller than the sum of its proper divisors (618822624).

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

289441824 is a wasteful number, since it uses less digits than its factorization.

289441824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1712 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 289441824 is about 17012.9898606917. The cubic root of 289441824 is about 661.4856523861.

The spelling of 289441824 in words is "two hundred eighty-nine million, four hundred forty-one thousand, eight hundred twenty-four".