289308672 has 160 divisors (see below), whose sum is σ = 872270850. Its totient is φ = 95551488.

The previous prime is 289308671. The next prime is 289308739. The reversal of 289308672 is 276803982.

289308672 is a `hidden beast` number, since 289 + 308 + 67 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224280576 + 65028096 = 14976^2 + 8064^2 .

It is not an unprimeable number, because it can be changed into a prime (289308671) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2654154 + ... + 2654262.

Almost surely, 2^289308672 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 289308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436135425).

289308672 is an abundant number, since it is smaller than the sum of its proper divisors (582962178).

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

289308672 is an frugal number, since it uses more digits than its factorization.

289308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 289308672 is about 17009.0761653889. The cubic root of 289308672 is about 661.3842023537.

The spelling of 289308672 in words is "two hundred eighty-nine million, three hundred eight thousand, six hundred seventy-two".