9785952528 has 160 divisors (see below), whose sum is σ = 28546363392. Its totient is φ = 2861913600.

The previous prime is 9785952509. The next prime is 9785952541. The reversal of 9785952528 is 8252595879.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8952750 + ... + 8953842.

Almost surely, 2^9785952528 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 9785952528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14273181696).

9785952528 is an abundant number, since it is smaller than the sum of its proper divisors (18760410864).

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

9785952528 is a wasteful number, since it uses less digits than its factorization.

9785952528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1687 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 60.

The square root of 9785952528 is about 98923.9734745830. The cubic root of 9785952528 is about 2138.9519810890.

The spelling of 9785952528 in words is "nine billion, seven hundred eighty-five million, nine hundred fifty-two thousand, five hundred twenty-eight".