383963328 has 168 divisors, whose sum is σ = 1304739072. Its totient is φ = 109672704.

The previous prime is 383963221. The next prime is 383963329. The reversal of 383963328 is 823369383.

383963328 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 633 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383963329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107101 + ... + 110627.

It is an arithmetic number, because the mean of its divisors is an integer number (7766304).

Almost surely, 2^383963328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652369536).

383963328 is an abundant number, since it is smaller than the sum of its proper divisors (920775744).

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

383963328 is an equidigital number, since it uses as much as digits as its factorization.

383963328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3539 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 383963328 is about 19594.9822148427. The cubic root of 383963328 is about 726.8250983940.

The spelling of 383963328 in words is "three hundred eighty-three million, nine hundred sixty-three thousand, three hundred twenty-eight".