289576672 has 144 divisors (see below), whose sum is σ = 734977152. Its totient is φ = 111041280.

The previous prime is 289576669. The next prime is 289576681. The reversal of 289576672 is 276675982.

289576672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1776463 + ... + 1776625.

It is an arithmetic number, because the mean of its divisors is an integer number (5104008).

Almost surely, 2^289576672 is an apocalyptic number.

289576672 is a gapful number since it is divisible by the number (22) 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 289576672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367488576).

289576672 is an abundant number, since it is smaller than the sum of its proper divisors (445400480).

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

289576672 is a wasteful number, since it uses less digits than its factorization.

289576672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The square root of 289576672 is about 17016.9524886215. The cubic root of 289576672 is about 661.5883629149.

The spelling of 289576672 in words is "two hundred eighty-nine million, five hundred seventy-six thousand, six hundred seventy-two".