828260550851328 has 216 divisors, whose sum is σ = 2729633333944608. Its totient is φ = 236611207397376.

The previous prime is 828260550851297. The next prime is 828260550851347. The reversal of 828260550851328 is 823158055062828.

828260550851328 is a `hidden beast` number, since 8 + 2 + 8 + 2 + 6 + 0 + 550 + 8 + 51 + 3 + 28 = 666.

828260550851328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106444726 + ... + 113960522.

Almost surely, 2^{828260550851328} 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 828260550851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364816666972304).

828260550851328 is an abundant number, since it is smaller than the sum of its proper divisors (1901372783093280).

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

828260550851328 is a wasteful number, since it uses less digits than its factorization.

828260550851328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7522659 (or 7522642 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 828260550851328 in words is "eight hundred twenty-eight trillion, two hundred sixty billion, five hundred fifty million, eight hundred fifty-one thousand, three hundred twenty-eight".