288253314 has 48 divisors (see below), whose sum is σ = 649209600. Its totient is φ = 92334240.

The previous prime is 288253307. The next prime is 288253321. The reversal of 288253314 is 413352882.

It is an interprime number because it is at equal distance from previous prime (288253307) and next prime (288253321).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81409 + ... + 84875.

It is an arithmetic number, because the mean of its divisors is an integer number (13525200).

Almost surely, 2^288253314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288253314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324604800).

288253314 is an abundant number, since it is smaller than the sum of its proper divisors (360956286).

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

288253314 is a wasteful number, since it uses less digits than its factorization.

288253314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3652 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 288253314 is about 16978.0244433797. The cubic root of 288253314 is about 660.5790097997.

The spelling of 288253314 in words is "two hundred eighty-eight million, two hundred fifty-three thousand, three hundred fourteen".