820828352 has 28 divisors (see below), whose sum is σ = 1651153416. Its totient is φ = 404789760.

The previous prime is 820828343. The next prime is 820828363. The reversal of 820828352 is 253828028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83174 + ... + 92517.

Almost surely, 2^820828352 is an apocalyptic number.

It is an amenable number.

820828352 is an abundant number, since it is smaller than the sum of its proper divisors (830325064).

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

820828352 is a wasteful number, since it uses less digits than its factorization.

820828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175776 (or 175766 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 820828352 is about 28650.1021289628. The cubic root of 820828352 is about 936.3052307669.

The spelling of 820828352 in words is "eight hundred twenty million, eight hundred twenty-eight thousand, three hundred fifty-two".