9665929728 has 720 divisors, whose sum is σ = 36295098840. Its totient is φ = 2452488192.

The previous prime is 9665929723. The next prime is 9665929729. The reversal of 9665929728 is 8279295669.

It can be written as a sum of positive squares in 4 ways, for example, as 7226360064 + 2439569664 = 85008^2 + 49392^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9665929723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108605908 + ... + 108605996.

Almost surely, 2^9665929728 is an apocalyptic number.

9665929728 is a gapful number since it is divisible by the number (98) 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 9665929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18147549420).

9665929728 is an abundant number, since it is smaller than the sum of its proper divisors (26629169112).

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

9665929728 is a wasteful number, since it uses less digits than its factorization.

9665929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 151 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 9665929728 is about 98315.4602694815. The cubic root of 9665929728 is about 2130.1713754857.

The spelling of 9665929728 in words is "nine billion, six hundred sixty-five million, nine hundred twenty-nine thousand, seven hundred twenty-eight".