9728643456 has 512 divisors, whose sum is σ = 34761600000. Its totient is φ = 2674280448.

The previous prime is 9728643451. The next prime is 9728643487. The reversal of 9728643456 is 6543468279.

9728643456 is a `hidden beast` number, since 9 + 72 + 86 + 43 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8709120) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9728643451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34376691 + ... + 34376973.

It is an arithmetic number, because the mean of its divisors is an integer number (67893750).

Almost surely, 2^9728643456 is an apocalyptic number.

9728643456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9728643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380800000).

9728643456 is an abundant number, since it is smaller than the sum of its proper divisors (25032956544).

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

9728643456 is a wasteful number, since it uses less digits than its factorization.

9728643456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 324 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 9728643456 is about 98633.8859419013. The cubic root of 9728643456 is about 2134.7683847998.

The spelling of 9728643456 in words is "nine billion, seven hundred twenty-eight million, six hundred forty-three thousand, four hundred fifty-six".