829838272 has 56 divisors (see below), whose sum is σ = 1753727760. Its totient is φ = 388239360.

The previous prime is 829838267. The next prime is 829838279. The reversal of 829838272 is 272838928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829838279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192622 + ... + 196882.

Almost surely, 2^829838272 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 829838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876863880).

829838272 is an abundant number, since it is smaller than the sum of its proper divisors (923889488).

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

829838272 is a wasteful number, since it uses less digits than its factorization.

829838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469 (or 4459 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The square root of 829838272 is about 28806.9136146169. The cubic root of 829838272 is about 939.7185938993.

The spelling of 829838272 in words is "eight hundred twenty-nine million, eight hundred thirty-eight thousand, two hundred seventy-two".