828051320010 has 32 divisors (see below), whose sum is σ = 1987521302592. Its totient is φ = 220791670400.

The previous prime is 828051319987. The next prime is 828051320011. The reversal of 828051320010 is 10023150828.

It is a super-3 number, since 3×828051320010³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 828051320010.

It is not an unprimeable number, because it can be changed into a prime (828051320011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068891 + ... + 1672910.

It is an arithmetic number, because the mean of its divisors is an integer number (62110040706).

Almost surely, 2^828051320010 is an apocalyptic number.

828051320010 is an abundant number, since it is smaller than the sum of its proper divisors (1159469982582).

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

828051320010 is a wasteful number, since it uses less digits than its factorization.

828051320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751878.

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 828051320010 its reverse (10023150828), we get a palindrome (838074470838).

The spelling of 828051320010 in words is "eight hundred twenty-eight billion, fifty-one million, three hundred twenty thousand, ten".