288240834 has 48 divisors (see below), whose sum is σ = 680656608. Its totient is φ = 81119808.

The previous prime is 288240833. The next prime is 288240839. The reversal of 288240834 is 438042882.

It is a junction number, because it is equal to n+sod(n) for n = 288240792 and 288240801.

It is not an unprimeable number, because it can be changed into a prime (288240833) 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, 12382 + ... + 27014.

It is an arithmetic number, because the mean of its divisors is an integer number (14180346).

Almost surely, 2^288240834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288240834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340328304).

288240834 is an abundant number, since it is smaller than the sum of its proper divisors (392415774).

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

288240834 is a wasteful number, since it uses less digits than its factorization.

288240834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14719 (or 14712 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 288240834 is about 16977.6569054743. The cubic root of 288240834 is about 660.5694763504.

The spelling of 288240834 in words is "two hundred eighty-eight million, two hundred forty thousand, eight hundred thirty-four".