288335982 has 48 divisors (see below), whose sum is σ = 667255680. Its totient is φ = 82771920.

The previous prime is 288335977. The next prime is 288335987. The reversal of 288335982 is 289533882.

It is an interprime number because it is at equal distance from previous prime (288335977) and next prime (288335987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288335987) 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, 3343 + ... + 24245.

It is an arithmetic number, because the mean of its divisors is an integer number (13901160).

Almost surely, 2^288335982 is an apocalyptic number.

288335982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 288335982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333627840).

288335982 is an abundant number, since it is smaller than the sum of its proper divisors (378919698).

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

288335982 is a wasteful number, since it uses less digits than its factorization.

288335982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20949 (or 20938 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 288335982 is about 16980.4588277231. The cubic root of 288335982 is about 660.6421527870.

The spelling of 288335982 in words is "two hundred eighty-eight million, three hundred thirty-five thousand, nine hundred eighty-two".