383243328 has 252 divisors, whose sum is σ = 1237536768. Its totient is φ = 113218560.

The previous prime is 383243317. The next prime is 383243363. The reversal of 383243328 is 823342383.

It is a happy number.

383243328 is a `hidden beast` number, since 3 + 8 + 324 + 3 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 383243292 and 383243301.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3017601 + ... + 3017727.

Almost surely, 2^383243328 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 383243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618768384).

383243328 is an abundant number, since it is smaller than the sum of its proper divisors (854293440).

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

383243328 is a wasteful number, since it uses less digits than its factorization.

383243328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 383243328 is about 19576.6015436796. The cubic root of 383243328 is about 726.3705050545.

The spelling of 383243328 in words is "three hundred eighty-three million, two hundred forty-three thousand, three hundred twenty-eight".