9827162268928 has 144 divisors (see below), whose sum is σ = 21133211774976. Its totient is φ = 4549195284480.

The previous prime is 9827162268923. The next prime is 9827162268949. The reversal of 9827162268928 is 8298622617289.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9827162268923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30498550 + ... + 30819082.

It is an arithmetic number, because the mean of its divisors is an integer number (146758415104).

Almost surely, 2^{9827162268928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9827162268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10566605887488).

9827162268928 is an abundant number, since it is smaller than the sum of its proper divisors (11306049506048).

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

9827162268928 is a wasteful number, since it uses less digits than its factorization.

9827162268928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320740 (or 320726 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 70.

The spelling of 9827162268928 in words is "nine trillion, eight hundred twenty-seven billion, one hundred sixty-two million, two hundred sixty-eight thousand, nine hundred twenty-eight".