830575328 has 48 divisors (see below), whose sum is σ = 1789225200. Its totient is φ = 376396800.

The previous prime is 830575289. The next prime is 830575331. The reversal of 830575328 is 823575038.

It is a super-3 number, since 3×830575328³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119468 + ... + 126228.

It is an arithmetic number, because the mean of its divisors is an integer number (37275525).

Almost surely, 2^830575328 is an apocalyptic number.

830575328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830575328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894612600).

830575328 is an abundant number, since it is smaller than the sum of its proper divisors (958649872).

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

830575328 is a wasteful number, since it uses less digits than its factorization.

830575328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 830575328 is about 28819.7038152719. The cubic root of 830575328 is about 939.9967285234.

The spelling of 830575328 in words is "eight hundred thirty million, five hundred seventy-five thousand, three hundred twenty-eight".