828113188728051 has 48 divisors (see below), whose sum is σ = 1239677361936000. Its totient is φ = 532062024560640.

The previous prime is 828113188728047. The next prime is 828113188728053. The reversal of 828113188728051 is 150827881311828.

828113188728051 is a `hidden beast` number, since 8 + 28 + 11 + 318 + 8 + 7 + 280 + 5 + 1 = 666.

It is not a de Polignac number, because 828113188728051 - 2² = 828113188728047 is a prime.

It is a super-2 number, since 2×828113188728051² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 828113188728051.

It is not an unprimeable number, because it can be changed into a prime (828113188728053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2067193510 + ... + 2067594068.

It is an arithmetic number, because the mean of its divisors is an integer number (25826611707000).

Almost surely, 2^{828113188728051} is an apocalyptic number.

828113188728051 is a deficient number, since it is larger than the sum of its proper divisors (411564173207949).

828113188728051 is a wasteful number, since it uses less digits than its factorization.

828113188728051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415084 (or 415081 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 63.

The spelling of 828113188728051 in words is "eight hundred twenty-eight trillion, one hundred thirteen billion, one hundred eighty-eight million, seven hundred twenty-eight thousand, fifty-one".