7685528928 has 288 divisors, whose sum is σ = 26169292800. Its totient is φ = 1931212800.

The previous prime is 7685528927. The next prime is 7685528941. The reversal of 7685528928 is 8298255867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7685528927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2519148 + ... + 2522196.

It is an arithmetic number, because the mean of its divisors is an integer number (90865600).

Almost surely, 2^7685528928 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 7685528928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13084646400).

7685528928 is an abundant number, since it is smaller than the sum of its proper divisors (18483763872).

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

7685528928 is a wasteful number, since it uses less digits than its factorization.

7685528928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3103 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 60.

The square root of 7685528928 is about 87667.1485107164. The cubic root of 7685528928 is about 1973.4430010677.

The spelling of 7685528928 in words is "seven billion, six hundred eighty-five million, five hundred twenty-eight thousand, nine hundred twenty-eight".