4828385664 has 192 divisors, whose sum is σ = 14348486880. Its totient is φ = 1557504000.

The previous prime is 4828385651. The next prime is 4828385669. The reversal of 4828385664 is 4665838284.

4828385664 is a `hidden beast` number, since 48 + 2 + 8 + 38 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 4828385664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4828385669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7131694 + ... + 7132370.

Almost surely, 2^4828385664 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 4828385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174243440).

4828385664 is an abundant number, since it is smaller than the sum of its proper divisors (9520101216).

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

4828385664 is a wasteful number, since it uses less digits than its factorization.

4828385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 874 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 4828385664 is about 69486.5862163339. The cubic root of 4828385664 is about 1690.1839912655.

The spelling of 4828385664 in words is "four billion, eight hundred twenty-eight million, three hundred eighty-five thousand, six hundred sixty-four".