4882752000 has 720 divisors, whose sum is σ = 20576319192. Its totient is φ = 1109606400.

The previous prime is 4882751989. The next prime is 4882752001. The reversal of 4882752000 is 2572884.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2574141696 + 2308610304 = 50736^2 + 48048^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (4882752001) 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, 28223914 + ... + 28224086.

Almost surely, 2^4882752000 is an apocalyptic number.

4882752000 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 4882752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10288159596).

4882752000 is an abundant number, since it is smaller than the sum of its proper divisors (15693567192).

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

4882752000 is a wasteful number, since it uses less digits than its factorization.

4882752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4882752000 is about 69876.6913927670. The cubic root of 4882752000 is about 1696.5040035262.

The spelling of 4882752000 in words is "four billion, eight hundred eighty-two million, seven hundred fifty-two thousand".