289963968 has 280 divisors, whose sum is σ = 973269072. Its totient is φ = 75866112.

The previous prime is 289963913. The next prime is 289963969. The reversal of 289963968 is 869369982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289963969) 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 39 ways as a sum of consecutive naturals, for example, 7836846 + ... + 7836882.

Almost surely, 2^289963968 is an apocalyptic number.

289963968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486634536).

289963968 is an abundant number, since it is smaller than the sum of its proper divisors (683305104).

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

289963968 is an equidigital number, since it uses as much as digits as its factorization.

289963968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The square root of 289963968 is about 17028.3283971152. The cubic root of 289963968 is about 661.8831799171.

The spelling of 289963968 in words is "two hundred eighty-nine million, nine hundred sixty-three thousand, nine hundred sixty-eight".