289345152 has 96 divisors (see below), whose sum is σ = 806444640. Its totient is φ = 91745280.

The previous prime is 289345127. The next prime is 289345157. The reversal of 289345152 is 251543982.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 289345152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289345157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1598502 + ... + 1598682.

It is an arithmetic number, because the mean of its divisors is an integer number (8400465).

Almost surely, 2^289345152 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 289345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403222320).

289345152 is an abundant number, since it is smaller than the sum of its proper divisors (517099488).

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

289345152 is an equidigital number, since it uses as much as digits as its factorization.

289345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 209 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 289345152 is about 17010.1485002336. The cubic root of 289345152 is about 661.4119999784.

The spelling of 289345152 in words is "two hundred eighty-nine million, three hundred forty-five thousand, one hundred fifty-two".