828887372775 has 768 divisors, whose sum is σ = 2051525836800. Its totient is φ = 318022848000.

The previous prime is 828887372711. The next prime is 828887372779. The reversal of 828887372775 is 577273788828.

828887372775 is a `hidden beast` number, since 8 + 288 + 8 + 73 + 7 + 277 + 5 = 666.

It is not a de Polignac number, because 828887372775 - 2⁶ = 828887372711 is a prime.

It is a super-2 number, since 2×828887372775² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828887372779) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6327384460 + ... + 6327384590.

It is an arithmetic number, because the mean of its divisors is an integer number (2671257600).

Almost surely, 2^828887372775 is an apocalyptic number.

828887372775 is an abundant number, since it is smaller than the sum of its proper divisors (1222638464025).

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

828887372775 is a wasteful number, since it uses less digits than its factorization.

828887372775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 326 counting only the distinct ones).

The product of its digits is 590069760, while the sum is 72.

The spelling of 828887372775 in words is "eight hundred twenty-eight billion, eight hundred eighty-seven million, three hundred seventy-two thousand, seven hundred seventy-five".