288768099 has 8 divisors (see below), whose sum is σ = 405288640. Its totient is φ = 182379816.

The previous prime is 288768097. The next prime is 288768101. The reversal of 288768099 is 990867882.

It is an interprime number because it is at equal distance from previous prime (288768097) and next prime (288768101).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 288768099 - 2¹ = 288768097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57), and also a Moran number because the ratio is a prime number: 5066107 = 288768099 / (2 + 8 + 8 + 7 + 6 + 8 + 0 + 9 + 9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288768097) 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 7 ways as a sum of consecutive naturals, for example, 2532997 + ... + 2533110.

It is an arithmetic number, because the mean of its divisors is an integer number (50661080).

Almost surely, 2^288768099 is an apocalyptic number.

288768099 is a deficient number, since it is larger than the sum of its proper divisors (116520541).

288768099 is a wasteful number, since it uses less digits than its factorization.

288768099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066129.

The product of its (nonzero) digits is 3483648, while the sum is 57.

The square root of 288768099 is about 16993.1780135441. The cubic root of 288768099 is about 660.9720135882.

The spelling of 288768099 in words is "two hundred eighty-eight million, seven hundred sixty-eight thousand, ninety-nine".