828020632 has 64 divisors (see below), whose sum is σ = 1717524000. Its totient is φ = 372566016.

The previous prime is 828020623. The next prime is 828020647. The reversal of 828020632 is 236020828.

828020632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 828020594 and 828020603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295494 + ... + 298282.

Almost surely, 2^828020632 is an apocalyptic number.

It is an amenable number.

828020632 is an abundant number, since it is smaller than the sum of its proper divisors (889503368).

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

828020632 is a wasteful number, since it uses less digits than its factorization.

828020632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 828020632 is about 28775.3476434256. The cubic root of 828020632 is about 939.0319867312.

The spelling of 828020632 in words is "eight hundred twenty-eight million, twenty thousand, six hundred thirty-two".