289904832 has 168 divisors, whose sum is σ = 985211136. Its totient is φ = 82798848.

The previous prime is 289904803. The next prime is 289904833. The reversal of 289904832 is 238409982.

289904832 is a `hidden beast` number, since 2 + 89 + 90 + 483 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (289904833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107533 + ... + 110195.

It is an arithmetic number, because the mean of its divisors is an integer number (5864352).

Almost surely, 2^289904832 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 289904832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492605568).

289904832 is an abundant number, since it is smaller than the sum of its proper divisors (695306304).

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

289904832 is an equidigital number, since it uses as much as digits as its factorization.

289904832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 289904832 is about 17026.5919079539. The cubic root of 289904832 is about 661.8381814700.

The spelling of 289904832 in words is "two hundred eighty-nine million, nine hundred four thousand, eight hundred thirty-two".