289363968 has 96 divisors (see below), whose sum is σ = 857329200. Its totient is φ = 96436224.

The previous prime is 289363933. The next prime is 289363969. The reversal of 289363968 is 869363982.

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 (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289363969) 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 7 ways as a sum of consecutive naturals, for example, 52680 + ... + 57912.

Almost surely, 2^289363968 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 289363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428664600).

289363968 is an abundant number, since it is smaller than the sum of its proper divisors (567965232).

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

289363968 is an equidigital number, since it uses as much as digits as its factorization.

289363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5238 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 289363968 is about 17010.7015728335. The cubic root of 289363968 is about 661.4263367873.

The spelling of 289363968 in words is "two hundred eighty-nine million, three hundred sixty-three thousand, nine hundred sixty-eight".