828041813205 has 32 divisors (see below), whose sum is σ = 1364264630400. Its totient is φ = 428552716032.

The previous prime is 828041813191. The next prime is 828041813231. The reversal of 828041813205 is 502318140828.

It is not a de Polignac number, because 828041813205 - 2⁴ = 828041813189 is a prime.

It is a super-2 number, since 2×828041813205² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1757950 + ... + 2178639.

It is an arithmetic number, because the mean of its divisors is an integer number (42633269700).

Almost surely, 2^828041813205 is an apocalyptic number.

It is an amenable number.

828041813205 is a deficient number, since it is larger than the sum of its proper divisors (536222817195).

828041813205 is a wasteful number, since it uses less digits than its factorization.

828041813205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937013.

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 828041813205 in words is "eight hundred twenty-eight billion, forty-one million, eight hundred thirteen thousand, two hundred five".