289729944 has 144 divisors (see below), whose sum is σ = 935527320. Its totient is φ = 80720640.

The previous prime is 289729939. The next prime is 289729967. The reversal of 289729944 is 449927982.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 143647 + ... + 145649.

Almost surely, 2^289729944 is an apocalyptic number.

289729944 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 289729944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467763660).

289729944 is an abundant number, since it is smaller than the sum of its proper divisors (645797376).

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

289729944 is a wasteful number, since it uses less digits than its factorization.

289729944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2056 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 289729944 is about 17021.4554019332. The cubic root of 289729944 is about 661.7050678568.

The spelling of 289729944 in words is "two hundred eighty-nine million, seven hundred twenty-nine thousand, nine hundred forty-four".