288911872 has 80 divisors (see below), whose sum is σ = 643753440. Its totient is φ = 128729088.

The previous prime is 288911869. The next prime is 288911879. The reversal of 288911872 is 278119882.

It is not an unprimeable number, because it can be changed into a prime (288911879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164503 + ... + 166249.

It is an arithmetic number, because the mean of its divisors is an integer number (8046918).

Almost surely, 2^288911872 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 288911872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321876720).

288911872 is an abundant number, since it is smaller than the sum of its proper divisors (354841568).

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

288911872 is a wasteful number, since it uses less digits than its factorization.

288911872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1785 counting only the distinct ones).

The product of its digits is 129024, while the sum is 46.

The square root of 288911872 is about 16997.4078023680. The cubic root of 288911872 is about 661.0816911722.

The spelling of 288911872 in words is "two hundred eighty-eight million, nine hundred eleven thousand, eight hundred seventy-two".