289001832 has 64 divisors (see below), whose sum is σ = 831054720. Its totient is φ = 82038528.

The previous prime is 289001827. The next prime is 289001833. The reversal of 289001832 is 238100982.

It is a junction number, because it is equal to n+sod(n) for n = 289001793 and 289001802.

It is not an unprimeable number, because it can be changed into a prime (289001833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20898 + ... + 31854.

It is an arithmetic number, because the mean of its divisors is an integer number (12985230).

Almost surely, 2^289001832 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 289001832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415527360).

289001832 is an abundant number, since it is smaller than the sum of its proper divisors (542052888).

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

289001832 is a wasteful number, since it uses less digits than its factorization.

289001832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130 (or 11126 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 289001832 is about 17000.0538822676. The cubic root of 289001832 is about 661.1502988726.

The spelling of 289001832 in words is "two hundred eighty-nine million, one thousand, eight hundred thirty-two".