829165929561928 has 128 divisors (see below), whose sum is σ = 1850701071340800. Its totient is φ = 340883815219200.

The previous prime is 829165929561913. The next prime is 829165929561941.

829165929561928 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×829165929561928² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (82).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78241528 + ... + 88204696.

It is an arithmetic number, because the mean of its divisors is an integer number (14458602119850).

Almost surely, 2^{829165929561928} 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 829165929561928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925350535670400).

829165929561928 is an abundant number, since it is smaller than the sum of its proper divisors (1021535141778872).

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

829165929561928 is a wasteful number, since it uses less digits than its factorization.

829165929561928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9963831 (or 9963827 counting only the distinct ones).

The product of its digits is 3023308800, while the sum is 82.

The spelling of 829165929561928 in words is "eight hundred twenty-nine trillion, one hundred sixty-five billion, nine hundred twenty-nine million, five hundred sixty-one thousand, nine hundred twenty-eight".