289521152 has 160 divisors (see below), whose sum is σ = 671742720. Its totient is φ = 123863040.

The previous prime is 289521151. The next prime is 289521157. The reversal of 289521152 is 251125982.

289521152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289521151) 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, 7824878 + ... + 7824914.

It is an arithmetic number, because the mean of its divisors is an integer number (4198392).

Almost surely, 2^289521152 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 289521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335871360).

289521152 is an abundant number, since it is smaller than the sum of its proper divisors (382221568).

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

289521152 is a wasteful number, since it uses less digits than its factorization.

289521152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its digits is 14400, while the sum is 35.

The square root of 289521152 is about 17015.3210960005. The cubic root of 289521152 is about 661.5460785078.

The spelling of 289521152 in words is "two hundred eighty-nine million, five hundred twenty-one thousand, one hundred fifty-two".