288264096 has 108 divisors (see below), whose sum is σ = 851856642. Its totient is φ = 96018048.

The previous prime is 288264091. The next prime is 288264103. The reversal of 288264096 is 690462882.

It can be written as a sum of positive squares in only one way, i.e., 159668496 + 128595600 = 12636^2 + 11340^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (288264091) 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 17 ways as a sum of consecutive naturals, for example, 209266 + ... + 210638.

Almost surely, 2^288264096 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 288264096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425928321).

288264096 is an abundant number, since it is smaller than the sum of its proper divisors (563592546).

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

288264096 is an frugal number, since it uses more digits than its factorization.

288264096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 288264096 is about 16978.3419685198. The cubic root of 288264096 is about 660.5872459283.

The spelling of 288264096 in words is "two hundred eighty-eight million, two hundred sixty-four thousand, ninety-six".