829097417728 has 176 divisors, whose sum is σ = 1715747844096. Its totient is φ = 400211804160.

The previous prime is 829097417693. The next prime is 829097417833. The reversal of 829097417728 is 827714790928.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 829097417728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2164745025 + ... + 2164745407.

It is an arithmetic number, because the mean of its divisors is an integer number (9748567296).

Almost surely, 2^829097417728 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 829097417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857873922048).

829097417728 is an abundant number, since it is smaller than the sum of its proper divisors (886650426368).

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

829097417728 is a wasteful number, since it uses less digits than its factorization.

829097417728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 64.

The spelling of 829097417728 in words is "eight hundred twenty-nine billion, ninety-seven million, four hundred seventeen thousand, seven hundred twenty-eight".