829348268 has 12 divisors (see below), whose sum is σ = 1658696592. Its totient is φ = 355434960.

The previous prime is 829348259. The next prime is 829348277. The reversal of 829348268 is 862843928.

It is an interprime number because it is at equal distance from previous prime (829348259) and next prime (829348277).

829348268 is an admirable number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14809763 + ... + 14809818.

It is an arithmetic number, because the mean of its divisors is an integer number (138224716).

Almost surely, 2^829348268 is an apocalyptic number.

It is an amenable number.

829348268 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

829348268 is a wasteful number, since it uses less digits than its factorization.

829348268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29619592 (or 29619590 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 829348268 is about 28798.4073865205. The cubic root of 829348268 is about 939.5335953892.

The spelling of 829348268 in words is "eight hundred twenty-nine million, three hundred forty-eight thousand, two hundred sixty-eight".