288360016 has 120 divisors (see below), whose sum is σ = 693400064. Its totient is φ = 113667840.

The previous prime is 288360013. The next prime is 288360029. The reversal of 288360016 is 610063882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288360013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1836610 + ... + 1836766.

Almost surely, 2^288360016 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 288360016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346700032).

288360016 is an abundant number, since it is smaller than the sum of its proper divisors (405040048).

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

288360016 is a wasteful number, since it uses less digits than its factorization.

288360016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 288360016 is about 16981.1665088120. The cubic root of 288360016 is about 660.6605080315.

The spelling of 288360016 in words is "two hundred eighty-eight million, three hundred sixty thousand, sixteen".