288052992 has 216 divisors, whose sum is σ = 888567680. Its totient is φ = 89579520.

The previous prime is 288052987. The next prime is 288052997. The reversal of 288052992 is 299250882.

It is an interprime number because it is at equal distance from previous prime (288052987) and next prime (288052997).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288052997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642634 + ... + 2642742.

Almost surely, 2^288052992 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 288052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444283840).

288052992 is an abundant number, since it is smaller than the sum of its proper divisors (600514688).

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

288052992 is a wasteful number, since it uses less digits than its factorization.

288052992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 288052992 is about 16972.1239684372. The cubic root of 288052992 is about 660.4259509359.

The spelling of 288052992 in words is "two hundred eighty-eight million, fifty-two thousand, nine hundred ninety-two".