828041813190 has 96 divisors (see below), whose sum is σ = 2156479603200. Its totient is φ = 220445245440.

The previous prime is 828041813189. The next prime is 828041813191. The reversal of 828041813190 is 91318140828.

828041813190 is a `hidden beast` number, since 8 + 280 + 4 + 181 + 3 + 190 = 666.

It is an interprime number because it is at equal distance from previous prime (828041813189) and next prime (828041813191).

It is a super-2 number, since 2×828041813190² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828041813191) 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, 244186395 + ... + 244189785.

It is an arithmetic number, because the mean of its divisors is an integer number (22463329200).

Almost surely, 2^828041813190 is an apocalyptic number.

828041813190 is an abundant number, since it is smaller than the sum of its proper divisors (1328437790010).

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

828041813190 is a wasteful number, since it uses less digits than its factorization.

828041813190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102 (or 7099 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 828041813190 in words is "eight hundred twenty-eight billion, forty-one million, eight hundred thirteen thousand, one hundred ninety".