821083128 has 16 divisors (see below), whose sum is σ = 2052707880. Its totient is φ = 273694368.

The previous prime is 821083111. The next prime is 821083129. The reversal of 821083128 is 821380128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821083129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17105875 + ... + 17105922.

Almost surely, 2^821083128 is an apocalyptic number.

It is an amenable number.

821083128 is an abundant number, since it is smaller than the sum of its proper divisors (1231624752).

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

821083128 is a wasteful number, since it uses less digits than its factorization.

821083128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34211806 (or 34211802 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 821083128 is about 28654.5481206736. The cubic root of 821083128 is about 936.4020936593.

The spelling of 821083128 in words is "eight hundred twenty-one million, eighty-three thousand, one hundred twenty-eight".