828083643660 has 864 divisors, whose sum is σ = 3255683558400. Its totient is φ = 172046426112.

The previous prime is 828083643649. The next prime is 828083643679. The reversal of 828083643660 is 66346380828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 828083643597 and 828083643606.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4161224241 + ... + 4161224439.

Almost surely, 2^828083643660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828083643660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627841779200).

828083643660 is an abundant number, since it is smaller than the sum of its proper divisors (2427599914740).

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

828083643660 is a wasteful number, since it uses less digits than its factorization.

828083643660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 828083643660 in words is "eight hundred twenty-eight billion, eighty-three million, six hundred forty-three thousand, six hundred sixty".