828028575801 has 24 divisors (see below), whose sum is σ = 1398692792640. Its totient is φ = 462155482656.

The previous prime is 828028575799. The next prime is 828028575817. The reversal of 828028575801 is 108575820828.

828028575801 is a `hidden beast` number, since 8 + 2 + 8 + 0 + 2 + 8 + 57 + 580 + 1 = 666.

It is not a de Polignac number, because 828028575801 - 2¹ = 828028575799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828028575841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152826486 + ... + 152831903.

It is an arithmetic number, because the mean of its divisors is an integer number (58278866360).

Almost surely, 2^828028575801 is an apocalyptic number.

It is an amenable number.

828028575801 is a deficient number, since it is larger than the sum of its proper divisors (570664216839).

828028575801 is a wasteful number, since it uses less digits than its factorization.

828028575801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305658445 (or 305658442 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 828028575801 in words is "eight hundred twenty-eight billion, twenty-eight million, five hundred seventy-five thousand, eight hundred one".