1028488735968 has 96 divisors (see below), whose sum is σ = 2773696214016. Its totient is φ = 333450091008.

The previous prime is 1028488735871. The next prime is 1028488735999. The reversal of 1028488735968 is 8695378848201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10689805 + ... + 10785587.

It is an arithmetic number, because the mean of its divisors is an integer number (28892668896).

It is a 1-persistent number, because it is pandigital, but 2⋅1028488735968 = 2056977471936 is not.

Almost surely, 2^{1028488735968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028488735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386848107008).

1028488735968 is an abundant number, since it is smaller than the sum of its proper divisors (1745207478048).

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

1028488735968 is a wasteful number, since it uses less digits than its factorization.

1028488735968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98856 (or 98848 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 69.

The spelling of 1028488735968 in words is "one trillion, twenty-eight billion, four hundred eighty-eight million, seven hundred thirty-five thousand, nine hundred sixty-eight".