10352828105982 has 48 divisors (see below), whose sum is σ = 22591838412000. Its totient is φ = 3426301916352.

The previous prime is 10352828105981. The next prime is 10352828106007. The reversal of 10352828105982 is 28950182825301.

10352828105982 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 28 + 28 + 1 + 0 + 598 + 2 = 666.

10352828105982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10352828105981) 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, 2018257 + ... + 4977852.

It is an arithmetic number, because the mean of its divisors is an integer number (470663300250).

Almost surely, 2^{10352828105982} is an apocalyptic number.

10352828105982 is an abundant number, since it is smaller than the sum of its proper divisors (12239010306018).

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

10352828105982 is a wasteful number, since it uses less digits than its factorization.

10352828105982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996705 (or 6996702 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 10352828105982 in words is "ten trillion, three hundred fifty-two billion, eight hundred twenty-eight million, one hundred five thousand, nine hundred eighty-two".