289202368 has 224 divisors, whose sum is σ = 786530304. Its totient is φ = 102187008.

The previous prime is 289202339. The next prime is 289202377. The reversal of 289202368 is 863202982.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 289202368.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2277121 + ... + 2277247.

It is an arithmetic number, because the mean of its divisors is an integer number (3511296).

Almost surely, 2^289202368 is an apocalyptic number.

289202368 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 289202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393265152).

289202368 is an abundant number, since it is smaller than the sum of its proper divisors (497327936).

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

289202368 is a wasteful number, since it uses less digits than its factorization.

289202368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 289202368 is about 17005.9509584145. The cubic root of 289202368 is about 661.3031857716.

The spelling of 289202368 in words is "two hundred eighty-nine million, two hundred two thousand, three hundred sixty-eight".