289870272 has 112 divisors (see below), whose sum is σ = 856691200. Its totient is φ = 96111360.

The previous prime is 289870253. The next prime is 289870277. The reversal of 289870272 is 272078982.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289870277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467979 + ... + 468597.

Almost surely, 2^289870272 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 289870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428345600).

289870272 is an abundant number, since it is smaller than the sum of its proper divisors (566820928).

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

289870272 is a wasteful number, since it uses less digits than its factorization.

289870272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 289870272 is about 17025.5769946278. The cubic root of 289870272 is about 661.8118808430.

The spelling of 289870272 in words is "two hundred eighty-nine million, eight hundred seventy thousand, two hundred seventy-two".