971708028361728 has 704 divisors, whose sum is σ = 3340776945254400. Its totient is φ = 244413380689920.

The previous prime is 971708028361687. The next prime is 971708028361751. The reversal of 971708028361728 is 827163820807179.

971708028361728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 547832133 + ... + 549603003.

Almost surely, 2^{971708028361728} 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 971708028361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670388472627200).

971708028361728 is an abundant number, since it is smaller than the sum of its proper divisors (2369068916892672).

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

971708028361728 is a wasteful number, since it uses less digits than its factorization.

971708028361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771016 (or 1770998 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 69.

The spelling of 971708028361728 in words is "nine hundred seventy-one trillion, seven hundred eight billion, twenty-eight million, three hundred sixty-one thousand, seven hundred twenty-eight".