289268832 has 96 divisors (see below), whose sum is σ = 788949504. Its totient is φ = 92736000.

The previous prime is 289268827. The next prime is 289268857. The reversal of 289268832 is 238862982.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 274707 + ... + 275757.

It is an arithmetic number, because the mean of its divisors is an integer number (8218224).

Almost surely, 2^289268832 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 289268832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394474752).

289268832 is an abundant number, since it is smaller than the sum of its proper divisors (499680672).

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

289268832 is a wasteful number, since it uses less digits than its factorization.

289268832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 289268832 is about 17007.9049856236. The cubic root of 289268832 is about 661.3538417519.

The spelling of 289268832 in words is "two hundred eighty-nine million, two hundred sixty-eight thousand, eight hundred thirty-two".