288382080 has 256 divisors, whose sum is σ = 1077120000. Its totient is φ = 64253952.

The previous prime is 288382079. The next prime is 288382093. The reversal of 288382080 is 80283882.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577671 + ... + 578169.

It is an arithmetic number, because the mean of its divisors is an integer number (4207500).

Almost surely, 2^288382080 is an apocalyptic number.

288382080 is a gapful number since it is divisible by the number (20) 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 288382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538560000).

288382080 is an abundant number, since it is smaller than the sum of its proper divisors (788737920).

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

288382080 is a wasteful number, since it uses less digits than its factorization.

288382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 288382080 is about 16981.8161572901. The cubic root of 288382080 is about 660.6773578498.

The spelling of 288382080 in words is "two hundred eighty-eight million, three hundred eighty-two thousand, eighty".