9966928356 has 288 divisors, whose sum is σ = 32267289600. Its totient is φ = 2519112960.

The previous prime is 9966928339. The next prime is 9966928369. The reversal of 9966928356 is 6538296699.

It is a super-3 number, since 3×9966928356³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9966928293 and 9966928302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26297775 + ... + 26298153.

It is an arithmetic number, because the mean of its divisors is an integer number (112039200).

Almost surely, 2^9966928356 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 9966928356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133644800).

9966928356 is an abundant number, since it is smaller than the sum of its proper divisors (22300361244).

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

9966928356 is a wasteful number, since it uses less digits than its factorization.

9966928356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 634 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The square root of 9966928356 is about 99834.5048367547. The cubic root of 9966928356 is about 2152.0570437770.

The spelling of 9966928356 in words is "nine billion, nine hundred sixty-six million, nine hundred twenty-eight thousand, three hundred fifty-six".