830505828 has 96 divisors (see below), whose sum is σ = 2150668800. Its totient is φ = 248242176.

The previous prime is 830505773. The next prime is 830505829. The reversal of 830505828 is 828505038.

It is not an unprimeable number, because it can be changed into a prime (830505829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466476 + ... + 468252.

It is an arithmetic number, because the mean of its divisors is an integer number (22402800).

Almost surely, 2^830505828 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 830505828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075334400).

830505828 is an abundant number, since it is smaller than the sum of its proper divisors (1320162972).

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

830505828 is a wasteful number, since it uses less digits than its factorization.

830505828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 830505828 is about 28818.4980177663. The cubic root of 830505828 is about 939.9705091095.

The spelling of 830505828 in words is "eight hundred thirty million, five hundred five thousand, eight hundred twenty-eight".