9856945728 has 280 divisors, whose sum is σ = 34175224512. Its totient is φ = 2750340096.

The previous prime is 9856945687. The next prime is 9856945739. The reversal of 9856945728 is 8275496589.

9856945728 is a `hidden beast` number, since 9 + 8 + 56 + 9 + 4 + 572 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1557226 + ... + 1563542.

Almost surely, 2^9856945728 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 9856945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087612256).

9856945728 is an abundant number, since it is smaller than the sum of its proper divisors (24318278784).

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

9856945728 is a wasteful number, since it uses less digits than its factorization.

9856945728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391 (or 6372 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 9856945728 is about 99282.1521120488. The cubic root of 9856945728 is about 2144.1119390950. Note that the first 3 decimals are identical.

The spelling of 9856945728 in words is "nine billion, eight hundred fifty-six million, nine hundred forty-five thousand, seven hundred twenty-eight".