289855072 has 48 divisors (see below), whose sum is σ = 616073472. Its totient is φ = 133447680.

The previous prime is 289855067. The next prime is 289855073. The reversal of 289855072 is 270558982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289855073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266113 + ... + 267199.

It is an arithmetic number, because the mean of its divisors is an integer number (12834864).

Almost surely, 2^289855072 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 289855072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308036736).

289855072 is an abundant number, since it is smaller than the sum of its proper divisors (326218400).

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

289855072 is a wasteful number, since it uses less digits than its factorization.

289855072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The square root of 289855072 is about 17025.1306015549. The cubic root of 289855072 is about 661.8003127757.

It can be divided in two parts, 2898 and 55072, that added together give a triangular number (57970 = T₃₄₀).

The spelling of 289855072 in words is "two hundred eighty-nine million, eight hundred fifty-five thousand, seventy-two".