9507365728 has 72 divisors (see below), whose sum is σ = 22142824200. Its totient is φ = 4005485568.

The previous prime is 9507365677. The next prime is 9507365731. The reversal of 9507365728 is 8275637059.

9507365728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41128 + ... + 143896.

It is an arithmetic number, because the mean of its divisors is an integer number (307539225).

Almost surely, 2^9507365728 is an apocalyptic number.

9507365728 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 9507365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11071412100).

9507365728 is an abundant number, since it is smaller than the sum of its proper divisors (12635458472).

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

9507365728 is a wasteful number, since it uses less digits than its factorization.

9507365728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102852 (or 102837 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 52.

The square root of 9507365728 is about 97505.7215141758. The cubic root of 9507365728 is about 2118.4590178175.

It can be divided in two parts, 95073 and 65728, that added together give a square (160801 = 401²).

The spelling of 9507365728 in words is "nine billion, five hundred seven million, three hundred sixty-five thousand, seven hundred twenty-eight".