832828500 has 288 divisors, whose sum is σ = 3137097600. Its totient is φ = 190209600.

The previous prime is 832828489. The next prime is 832828537. The reversal of 832828500 is 5828238.

832828500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 660871 + ... + 662129.

It is an arithmetic number, because the mean of its divisors is an integer number (10892700).

Almost surely, 2^832828500 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 832828500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568548800).

832828500 is an abundant number, since it is smaller than the sum of its proper divisors (2304269100).

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

832828500 is a wasteful number, since it uses less digits than its factorization.

832828500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 832828500 is about 28858.7681649789. The cubic root of 832828500 is about 940.8459639533.

The spelling of 832828500 in words is "eight hundred thirty-two million, eight hundred twenty-eight thousand, five hundred".