383328000000 has 1008 divisors, whose sum is σ = 1522168797240. Its totient is φ = 92928000000.

The previous prime is 383327999927. The next prime is 383328000007. The reversal of 383328000000 is 823383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

383328000000 is a `hidden beast` number, since 383 + 3 + 280 + 0 + 0 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383328000007) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 34847999995 + ... + 34848000005.

Almost surely, 2^383328000000 is an apocalyptic number.

383328000000 is a gapful number since it is divisible by the number (30) 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 383328000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761084398620).

383328000000 is an abundant number, since it is smaller than the sum of its proper divisors (1138840797240).

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

383328000000 is an frugal number, since it uses more digits than its factorization.

383328000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 383328000000 its reverse (823383), we get a palindrome (383328823383).

The spelling of 383328000000 in words is "three hundred eighty-three billion, three hundred twenty-eight million", and thus it is an aban number.