288865992 has 64 divisors (see below), whose sum is σ = 744730560. Its totient is φ = 93312000.

The previous prime is 288865981. The next prime is 288865999. The reversal of 288865992 is 299568882.

It is a super-2 number, since 2×288865992² = 166887122668288128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (288865999) 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, 159492 + ... + 161292.

It is an arithmetic number, because the mean of its divisors is an integer number (11636415).

Almost surely, 2^288865992 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 288865992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372365280).

288865992 is an abundant number, since it is smaller than the sum of its proper divisors (455864568).

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

288865992 is a wasteful number, since it uses less digits than its factorization.

288865992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2010 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The square root of 288865992 is about 16996.0581312256. The cubic root of 288865992 is about 661.0466954560.

The spelling of 288865992 in words is "two hundred eighty-eight million, eight hundred sixty-five thousand, nine hundred ninety-two".