9507125728 has 48 divisors (see below), whose sum is σ = 19393410960. Its totient is φ = 4584093696.

The previous prime is 9507125711. The next prime is 9507125759. The reversal of 9507125728 is 8275217059.

It is a happy number.

9507125728 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 7 ways as a sum of consecutive naturals, for example, 98263 + ... + 169321.

It is an arithmetic number, because the mean of its divisors is an integer number (404029395).

Almost surely, 2^9507125728 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 9507125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696705480).

9507125728 is an abundant number, since it is smaller than the sum of its proper divisors (9886285232).

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

9507125728 is a wasteful number, since it uses less digits than its factorization.

9507125728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71219 (or 71211 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The square root of 9507125728 is about 97504.4908093981. The cubic root of 9507125728 is about 2118.4411918337.

The spelling of 9507125728 in words is "nine billion, five hundred seven million, one hundred twenty-five thousand, seven hundred twenty-eight".