383933088 has 384 divisors, whose sum is σ = 1451520000. Its totient is φ = 95800320.

The previous prime is 383933087. The next prime is 383933107. The reversal of 383933088 is 880339383.

It is a super-2 number, since 2×383933088² = 294809232122431488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (383933087) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1929213 + ... + 1929411.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^383933088 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 383933088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760000).

383933088 is an abundant number, since it is smaller than the sum of its proper divisors (1067586912).

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

383933088 is a wasteful number, since it uses less digits than its factorization.

383933088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 383933088 is about 19594.2105735342. The cubic root of 383933088 is about 726.8060169120.

The spelling of 383933088 in words is "three hundred eighty-three million, nine hundred thirty-three thousand, eighty-eight".