821323128 has 32 divisors (see below), whose sum is σ = 2058503760. Its totient is φ = 273081600.

The previous prime is 821323117. The next prime is 821323147.

821323128 is nontrivially palindromic in base 10.

821323128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 821323095 and 821323104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33573 + ... + 52628.

Almost surely, 2^821323128 is an apocalyptic number.

It is an amenable number.

821323128 is an abundant number, since it is smaller than the sum of its proper divisors (1237180632).

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

821323128 is a wasteful number, since it uses less digits than its factorization.

821323128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86607 (or 86603 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 821323128 is about 28658.7356315662. The cubic root of 821323128 is about 936.4933205610.

The spelling of 821323128 in words is "eight hundred twenty-one million, three hundred twenty-three thousand, one hundred twenty-eight".