7528163328 has 288 divisors, whose sum is σ = 25781071680. Its totient is φ = 2149908480.

The previous prime is 7528163311. The next prime is 7528163339. The reversal of 7528163328 is 8233618257.

7528163328 is a `hidden beast` number, since 7 + 5 + 2 + 8 + 1 + 633 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3482568 + ... + 3484728.

It is an arithmetic number, because the mean of its divisors is an integer number (89517610).

Almost surely, 2^7528163328 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 7528163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12890535840).

7528163328 is an abundant number, since it is smaller than the sum of its proper divisors (18252908352).

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

7528163328 is an equidigital number, since it uses as much as digits as its factorization.

7528163328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2173 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 7528163328 is about 86764.9890681720. The cubic root of 7528163328 is about 1959.8808868333.

The spelling of 7528163328 in words is "seven billion, five hundred twenty-eight million, one hundred sixty-three thousand, three hundred twenty-eight".