823828328 has 32 divisors (see below), whose sum is σ = 1573322400. Its totient is φ = 404298048.

The previous prime is 823828321. The next prime is 823828349.

823828328 is nontrivially palindromic in base 10.

823828328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×823828328² = 1357386228030551168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (823828321) 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, 477275 + ... + 478997.

It is an arithmetic number, because the mean of its divisors is an integer number (49166325).

Almost surely, 2^823828328 is an apocalyptic number.

It is an amenable number.

823828328 is a deficient number, since it is larger than the sum of its proper divisors (749494072).

823828328 is a wasteful number, since it uses less digits than its factorization.

823828328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2797 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The square root of 823828328 is about 28702.4097943012. The cubic root of 823828328 is about 937.4445181507. Note that the first 3 decimals are identical.

The spelling of 823828328 in words is "eight hundred twenty-three million, eight hundred twenty-eight thousand, three hundred twenty-eight".