1288382077728 has 72 divisors (see below), whose sum is σ = 3664253636316. Its totient is φ = 429411801600.

The previous prime is 1288382077699. The next prime is 1288382077739. The reversal of 1288382077728 is 8277702838821.

It can be written as a sum of positive squares in 2 ways, for example, as 1282393175184 + 5988902544 = 1132428^2 + 77388^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2324838 + ... + 2825178.

Almost surely, 2^{1288382077728} is an apocalyptic number.

1288382077728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1288382077728 is an abundant number, since it is smaller than the sum of its proper divisors (2375871558588).

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

1288382077728 is a wasteful number, since it uses less digits than its factorization.

1288382077728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509298 (or 509287 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 1288382077728 in words is "one trillion, two hundred eighty-eight billion, three hundred eighty-two million, seventy-seven thousand, seven hundred twenty-eight".