288838368 has 288 divisors, whose sum is σ = 1030288896. Its totient is φ = 74732544.

The previous prime is 288838331. The next prime is 288838373. The reversal of 288838368 is 863838882.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2699371 + ... + 2699477.

It is an arithmetic number, because the mean of its divisors is an integer number (3577392).

Almost surely, 2^288838368 is an apocalyptic number.

288838368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288838368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515144448).

288838368 is an abundant number, since it is smaller than the sum of its proper divisors (741450528).

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

288838368 is a wasteful number, since it uses less digits than its factorization.

288838368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 288838368 is about 16995.2454527730. The cubic root of 288838368 is about 661.0256230135.

The spelling of 288838368 in words is "two hundred eighty-eight million, eight hundred thirty-eight thousand, three hundred sixty-eight".