288065892 has 48 divisors (see below), whose sum is σ = 703059840. Its totient is φ = 91800544.

The previous prime is 288065891. The next prime is 288065893. The reversal of 288065892 is 298560882.

It is an interprime number because it is at equal distance from previous prime (288065891) and next prime (288065893).

It is not an unprimeable number, because it can be changed into a prime (288065891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145018 + ... + 146990.

It is an arithmetic number, because the mean of its divisors is an integer number (14647080).

Almost surely, 2^288065892 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 288065892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351529920).

288065892 is an abundant number, since it is smaller than the sum of its proper divisors (414993948).

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

288065892 is a wasteful number, since it uses less digits than its factorization.

288065892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 288065892 is about 16972.5039991157. The cubic root of 288065892 is about 660.4358095011.

The spelling of 288065892 in words is "two hundred eighty-eight million, sixty-five thousand, eight hundred ninety-two".