829798897928 has 128 divisors (see below), whose sum is σ = 2094996960000. Its totient is φ = 297573073920.

The previous prime is 829798897913. The next prime is 829798897957.

829798897928 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×829798897928² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 829798897928.

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, 2646338 + ... + 2943246.

It is an arithmetic number, because the mean of its divisors is an integer number (16367163750).

Almost surely, 2^829798897928 is an apocalyptic number.

829798897928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829798897928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047498480000).

829798897928 is an abundant number, since it is smaller than the sum of its proper divisors (1265198062072).

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

829798897928 is a wasteful number, since it uses less digits than its factorization.

829798897928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297295 (or 297291 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 86.

The spelling of 829798897928 in words is "eight hundred twenty-nine billion, seven hundred ninety-eight million, eight hundred ninety-seven thousand, nine hundred twenty-eight".