828316100 has 18 divisors (see below), whose sum is σ = 1797446154. Its totient is φ = 331326400.

The previous prime is 828316091. The next prime is 828316117. The reversal of 828316100 is 1613828.

828316100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 150651076 + 677665024 = 12274^2 + 26032^2 .

It is a super-2 number, since 2×828316100² = 1372215123038420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4141481 + ... + 4141680.

Almost surely, 2^828316100 is an apocalyptic number.

It is an amenable number.

828316100 is an abundant number, since it is smaller than the sum of its proper divisors (969130054).

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

828316100 is a wasteful number, since it uses less digits than its factorization.

828316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283175 (or 8283168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 828316100 is about 28780.4812329467. The cubic root of 828316100 is about 939.1436670835.

Adding to 828316100 its reverse (1613828), we get a palindrome (829929928).

The spelling of 828316100 in words is "eight hundred twenty-eight million, three hundred sixteen thousand, one hundred".