288314016 has 96 divisors (see below), whose sum is σ = 836293248. Its totient is φ = 86507520.

The previous prime is 288313937. The next prime is 288314023. The reversal of 288314016 is 610413882.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33696 + ... + 41376.

It is an arithmetic number, because the mean of its divisors is an integer number (8711388).

Almost surely, 2^288314016 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 288314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418146624).

288314016 is an abundant number, since it is smaller than the sum of its proper divisors (547979232).

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

288314016 is a wasteful number, since it uses less digits than its factorization.

288314016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 288314016 is about 16979.8120130937. The cubic root of 288314016 is about 660.6253760231.

Adding to 288314016 its reverse (610413882), we get a palindrome (898727898).

The spelling of 288314016 in words is "two hundred eighty-eight million, three hundred fourteen thousand, sixteen".