4788115200 has 648 divisors, whose sum is σ = 19383047600. Its totient is φ = 1155686400.

The previous prime is 4788115139. The next prime is 4788115201. The reversal of 4788115200 is 25118874.

4788115200 is a `hidden beast` number, since 47 + 88 + 11 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4788115201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20908686 + ... + 20908914.

Almost surely, 2^4788115200 is an apocalyptic number.

4788115200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4788115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9691523800).

4788115200 is an abundant number, since it is smaller than the sum of its proper divisors (14594932400).

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

4788115200 is a wasteful number, since it uses less digits than its factorization.

4788115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 4788115200 is about 69196.2079885885. The cubic root of 4788115200 is about 1685.4719537834.

The spelling of 4788115200 in words is "four billion, seven hundred eighty-eight million, one hundred fifteen thousand, two hundred".