8411328000 has 480 divisors, whose sum is σ = 32115489120. Its totient is φ = 2108620800.

The previous prime is 8411327971. The next prime is 8411328007. The reversal of 8411328000 is 8231148.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8411328007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9791571 + ... + 9792429.

It is an arithmetic number, because the mean of its divisors is an integer number (66907269).

Almost surely, 2^8411328000 is an apocalyptic number.

8411328000 is a gapful number since it is divisible by the number (80) 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 8411328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057744560).

8411328000 is an abundant number, since it is smaller than the sum of its proper divisors (23704161120).

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

8411328000 is a wasteful number, since it uses less digits than its factorization.

8411328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8411328000 is about 91713.2923844739. The cubic root of 8411328000 is about 2033.7060918920.

Adding to 8411328000 its reverse (8231148), we get a palindrome (8419559148).

The spelling of 8411328000 in words is "eight billion, four hundred eleven million, three hundred twenty-eight thousand".