829343928 has 64 divisors (see below), whose sum is σ = 2379836160. Its totient is φ = 235927296.

The previous prime is 829343927. The next prime is 829343969.

829343928 is nontrivially palindromic in base 10.

829343928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×829343928² = 1375622701820938368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829343927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28551 + ... + 49737.

It is an arithmetic number, because the mean of its divisors is an integer number (37184940).

Almost surely, 2^829343928 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 829343928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189918080).

829343928 is an abundant number, since it is smaller than the sum of its proper divisors (1550492232).

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

829343928 is a wasteful number, since it uses less digits than its factorization.

829343928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21436 (or 21432 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 829343928 is about 28798.3320350329. The cubic root of 829343928 is about 939.5319565188.

The spelling of 829343928 in words is "eight hundred twenty-nine million, three hundred forty-three thousand, nine hundred twenty-eight".