383667328 has 64 divisors (see below), whose sum is σ = 853348320. Its totient is φ = 170311680.

The previous prime is 383667313. The next prime is 383667331. The reversal of 383667328 is 823766383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×383667328³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57376 + ... + 63712.

Almost surely, 2^383667328 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 383667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426674160).

383667328 is an abundant number, since it is smaller than the sum of its proper divisors (469680992).

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

383667328 is a wasteful number, since it uses less digits than its factorization.

383667328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6393 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 383667328 is about 19587.4278045894. The cubic root of 383667328 is about 726.6382788712.

The spelling of 383667328 in words is "three hundred eighty-three million, six hundred sixty-seven thousand, three hundred twenty-eight".