9828275160064 has 55 divisors (see below), whose sum is σ = 19709923396427. Its totient is φ = 4898437459968.

The previous prime is 9828275160043. The next prime is 9828275160091. The reversal of 9828275160064 is 4600615728289.

The square root of 9828275160064 is 3135008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 9579074520064 + 249200640000 = 3095008^2 + 499200^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=1252.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9828275159990 and 9828275160008.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 31400239972 + ... + 31400240284.

Almost surely, 2^{9828275160064} is an apocalyptic number.

9828275160064 is the 3135008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9828275160064

9828275160064 is an abundant number, since it is smaller than the sum of its proper divisors (9881648236363).

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

9828275160064 is an frugal number, since it uses more digits than its factorization.

9828275160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 9828275160064 in words is "nine trillion, eight hundred twenty-eight billion, two hundred seventy-five million, one hundred sixty thousand, sixty-four".