4828506624 has 120 divisors (see below), whose sum is σ = 13971769812. Its totient is φ = 1605304320.

The previous prime is 4828506547. The next prime is 4828506637. The reversal of 4828506624 is 4266058284.

4828506624 is a `hidden beast` number, since 4 + 82 + 8 + 506 + 62 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4744454400 + 84052224 = 68880^2 + 9168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4828506624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2123152 + ... + 2125424.

Almost surely, 2^4828506624 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 4828506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985884906).

4828506624 is an abundant number, since it is smaller than the sum of its proper divisors (9143263188).

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

4828506624 is a wasteful number, since it uses less digits than its factorization.

4828506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4828506624 is about 69487.4565946977. The cubic root of 4828506624 is about 1690.1981052270.

The spelling of 4828506624 in words is "four billion, eight hundred twenty-eight million, five hundred six thousand, six hundred twenty-four".