828328128975 has 72 divisors (see below), whose sum is σ = 1532052692352. Its totient is φ = 427366195200.

The previous prime is 828328128961. The next prime is 828328128989. The reversal of 828328128975 is 579821823828.

828328128975 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 281 + 289 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (828328128961) and next prime (828328128989).

It is not a de Polignac number, because 828328128975 - 2¹⁰ = 828328127951 is a prime.

It is a super-2 number, since 2×828328128975² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 20186079 + ... + 20227071.

It is an arithmetic number, because the mean of its divisors is an integer number (21278509616).

Almost surely, 2^828328128975 is an apocalyptic number.

828328128975 is a deficient number, since it is larger than the sum of its proper divisors (703724563377).

828328128975 is a wasteful number, since it uses less digits than its factorization.

828328128975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43937 (or 43929 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 828328128975 in words is "eight hundred twenty-eight billion, three hundred twenty-eight million, one hundred twenty-eight thousand, nine hundred seventy-five".