4828528224 has 288 divisors, whose sum is σ = 15825831840. Its totient is φ = 1383284736.

The previous prime is 4828528223. The next prime is 4828528301. The reversal of 4828528224 is 4228258284.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4828528224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4828528223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6809982 + ... + 6810690.

It is an arithmetic number, because the mean of its divisors is an integer number (54950805).

Almost surely, 2^4828528224 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 4828528224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912915920).

4828528224 is an abundant number, since it is smaller than the sum of its proper divisors (10997303616).

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

4828528224 is a wasteful number, since it uses less digits than its factorization.

4828528224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

The square root of 4828528224 is about 69487.6120182583. The cubic root of 4828528224 is about 1690.2006255525.

The spelling of 4828528224 in words is "four billion, eight hundred twenty-eight million, five hundred twenty-eight thousand, two hundred twenty-four".