828249100690 has 48 divisors (see below), whose sum is σ = 1638907263000. Its totient is φ = 301143603200.

The previous prime is 828249100669. The next prime is 828249100691. The reversal of 828249100690 is 96001942828.

828249100690 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 4 ways, for example, as 638587979689 + 189661121001 = 799117^2 + 435501^2 .

It is a super-2 number, since 2×828249100690² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (828249100691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10683186 + ... + 10760434.

Almost surely, 2^828249100690 is an apocalyptic number.

828249100690 is a deficient number, since it is larger than the sum of its proper divisors (810658162310).

828249100690 is a wasteful number, since it uses less digits than its factorization.

828249100690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86139 (or 86128 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 828249100690 in words is "eight hundred twenty-eight billion, two hundred forty-nine million, one hundred thousand, six hundred ninety".