288238984381728 has 96 divisors (see below), whose sum is σ = 850143072139200. Its totient is φ = 95000114677248.

The previous prime is 288238984381723. The next prime is 288238984381757. The reversal of 288238984381728 is 827183489832882.

288238984381728 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 3 + 8 + 9 + 8 + 438 + 172 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (288238984381723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1874136226 + ... + 1874290017.

It is an arithmetic number, because the mean of its divisors is an integer number (8855657001450).

Almost surely, 2^{288238984381728} is an apocalyptic number.

It is an amenable number.

288238984381728 is an abundant number, since it is smaller than the sum of its proper divisors (561904087757472).

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

288238984381728 is a wasteful number, since it uses less digits than its factorization.

288238984381728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748426351 (or 3748426337 counting only the distinct ones).

The product of its digits is 4756340736, while the sum is 81.

The spelling of 288238984381728 in words is "two hundred eighty-eight trillion, two hundred thirty-eight billion, nine hundred eighty-four million, three hundred eighty-one thousand, seven hundred twenty-eight".