1029288636768 has 96 divisors (see below), whose sum is σ = 3088145329920. Its totient is φ = 294055856640.

The previous prime is 1029288636709. The next prime is 1029288636797. The reversal of 1029288636768 is 8676368829201.

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

It is a junction number, because it is equal to n+sod(n) for n = 1029288636699 and 1029288636708.

It is a congruent number.

It is an unprimeable number.

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, 8074003 + ... + 8200493.

It is an arithmetic number, because the mean of its divisors is an integer number (32168180520).

Almost surely, 2^{1029288636768} is an apocalyptic number.

It is an amenable number.

1029288636768 is an abundant number, since it is smaller than the sum of its proper divisors (2058856693152).

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

1029288636768 is a wasteful number, since it uses less digits than its factorization.

1029288636768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138620 (or 138612 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 1029288636768 in words is "one trillion, twenty-nine billion, two hundred eighty-eight million, six hundred thirty-six thousand, seven hundred sixty-eight".