5338928000 has 256 divisors, whose sum is σ = 15401543040. Its totient is φ = 1802649600.

The previous prime is 5338927991. The next prime is 5338928003. The reversal of 5338928000 is 8298335.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5338928003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8175674 + ... + 8176326.

Almost surely, 2^5338928000 is an apocalyptic number.

5338928000 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 5338928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700771520).

5338928000 is an abundant number, since it is smaller than the sum of its proper divisors (10062615040).

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

5338928000 is an equidigital number, since it uses as much as digits as its factorization.

5338928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 5338928000 is about 73067.9683582348. The cubic root of 5338928000 is about 1747.7716399156.

The spelling of 5338928000 in words is "five billion, three hundred thirty-eight million, nine hundred twenty-eight thousand".