5348328000 has 224 divisors, whose sum is σ = 18429914880. Its totient is φ = 1364070400.

The previous prime is 5348327983. The next prime is 5348328019. The reversal of 5348328000 is 8238435.

It is a super-2 number, since 2×5348328000² = 57209224791168000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547156 + ... + 556844.

Almost surely, 2^5348328000 is an apocalyptic number.

5348328000 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 5348328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9214957440).

5348328000 is an abundant number, since it is smaller than the sum of its proper divisors (13081586880).

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

5348328000 is a wasteful number, since it uses less digits than its factorization.

5348328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5348328000 is about 73132.2637417987. The cubic root of 5348328000 is about 1748.7967783504.

The spelling of 5348328000 in words is "five billion, three hundred forty-eight million, three hundred twenty-eight thousand".