288096768 has 120 divisors (see below), whose sum is σ = 840922368. Its totient is φ = 94943232.

The previous prime is 288096761. The next prime is 288096769. The reversal of 288096768 is 867690882.

It is not an unprimeable number, because it can be changed into a prime (288096761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474321 + ... + 474927.

Almost surely, 2^288096768 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 288096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420461184).

288096768 is an abundant number, since it is smaller than the sum of its proper divisors (552825600).

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

288096768 is a wasteful number, since it uses less digits than its factorization.

288096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 288096768 is about 16973.4135635705. The cubic root of 288096768 is about 660.4594046670.

The spelling of 288096768 in words is "two hundred eighty-eight million, ninety-six thousand, seven hundred sixty-eight".