289795968 has 384 divisors, whose sum is σ = 1087107840. Its totient is φ = 75271680.

The previous prime is 289795949. The next prime is 289796033. The reversal of 289795968 is 869597982.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 26345083 + ... + 26345093.

It is an arithmetic number, because the mean of its divisors is an integer number (2831010).

Almost surely, 2^289795968 is an apocalyptic number.

289795968 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 289795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543553920).

289795968 is an abundant number, since it is smaller than the sum of its proper divisors (797311872).

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

289795968 is an frugal number, since it uses more digits than its factorization.

289795968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The square root of 289795968 is about 17023.3947260821. The cubic root of 289795968 is about 661.7553274153.

The spelling of 289795968 in words is "two hundred eighty-nine million, seven hundred ninety-five thousand, nine hundred sixty-eight".