827384483728 has 20 divisors (see below), whose sum is σ = 1748789931888. Its totient is φ = 376083856160.

The previous prime is 827384483663. The next prime is 827384483753.

827384483728 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 827384483728.

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 3 ways as a sum of consecutive naturals, for example, 2350523926 + ... + 2350524277.

Almost surely, 2^827384483728 is an apocalyptic number.

827384483728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827384483728 is an abundant number, since it is smaller than the sum of its proper divisors (921405448160).

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

827384483728 is a wasteful number, since it uses less digits than its factorization.

827384483728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701048222 (or 4701048216 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 64.

The spelling of 827384483728 in words is "eight hundred twenty-seven billion, three hundred eighty-four million, four hundred eighty-three thousand, seven hundred twenty-eight".