4533328000 has 128 divisors (see below), whose sum is σ = 11314545840. Its totient is φ = 1806336000.

The previous prime is 4533327983. The next prime is 4533328003. The reversal of 4533328000 is 8233354.

It can be written as a sum of positive squares in 8 ways, for example, as 314565696 + 4218762304 = 17736^2 + 64952^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4533328000.

It is not an unprimeable number, because it can be changed into a prime (4533328003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6735664 + ... + 6736336.

Almost surely, 2^4533328000 is an apocalyptic number.

4533328000 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 4533328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657272920).

4533328000 is an abundant number, since it is smaller than the sum of its proper divisors (6781217840).

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

4533328000 is an equidigital number, since it uses as much as digits as its factorization.

4533328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4533328000 is about 67329.9933165005. The cubic root of 4533328000 is about 1655.0294047100.

The spelling of 4533328000 in words is "four billion, five hundred thirty-three million, three hundred twenty-eight thousand".