828482244100 has 81 divisors (see below), whose sum is σ = 2091486739797. Its totient is φ = 284029210080.

The previous prime is 828482244053. The next prime is 828482244127. The reversal of 828482244100 is 1442284828.

The square root of 828482244100 is 910210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 298253607876 + 530228636224 = 546126^2 + 728168^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 63708199 + ... + 63721201.

Almost surely, 2^828482244100 is an apocalyptic number.

828482244100 is the 910210-th square number.

It is an amenable number.

828482244100 is an abundant number, since it is smaller than the sum of its proper divisors (1263004495697).

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

828482244100 is an equidigital number, since it uses as much as digits as its factorization.

828482244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26034 (or 13017 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 43.

The spelling of 828482244100 in words is "eight hundred twenty-eight billion, four hundred eighty-two million, two hundred forty-four thousand, one hundred".