827491101194728 has 32 divisors (see below), whose sum is σ = 1559454970248000. Its totient is φ = 411636742311168.

The previous prime is 827491101194713. The next prime is 827491101194773.

827491101194728 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 827491101194728.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3352275 + ... + 40819357.

It is an arithmetic number, because the mean of its divisors is an integer number (48732967820250).

Almost surely, 2^{827491101194728} is an apocalyptic number.

It is an amenable number.

827491101194728 is a deficient number, since it is larger than the sum of its proper divisors (731963869053272).

827491101194728 is a wasteful number, since it uses less digits than its factorization.

827491101194728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37481161 (or 37481157 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 64.

The spelling of 827491101194728 in words is "eight hundred twenty-seven trillion, four hundred ninety-one billion, one hundred one million, one hundred ninety-four thousand, seven hundred twenty-eight".