5267328000 has 704 divisors, whose sum is σ = 20232875520. Its totient is φ = 1204224000.

The previous prime is 5267327983. The next prime is 5267328007. The reversal of 5267328000 is 8237625.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5267328007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122495979 + ... + 122496021.

It is an arithmetic number, because the mean of its divisors is an integer number (28739880).

Almost surely, 2^5267328000 is an apocalyptic number.

5267328000 is a gapful number since it is divisible by the number (50) 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 5267328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116437760).

5267328000 is an abundant number, since it is smaller than the sum of its proper divisors (14965547520).

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

5267328000 is a wasteful number, since it uses less digits than its factorization.

5267328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5267328000 is about 72576.3597874680. The cubic root of 5267328000 is about 1739.9233682726.

The spelling of 5267328000 in words is "five billion, two hundred sixty-seven million, three hundred twenty-eight thousand".