383728896 has 216 divisors, whose sum is σ = 1195261704. Its totient is φ = 117964800.

The previous prime is 383728889. The next prime is 383728907. The reversal of 383728896 is 698827383.

It can be written as a sum of positive squares in 4 ways, for example, as 200505600 + 183223296 = 14160^2 + 13536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3799246 + ... + 3799346.

It is an arithmetic number, because the mean of its divisors is an integer number (5533619).

Almost surely, 2^383728896 is an apocalyptic number.

383728896 is a gapful number since it is divisible by the number (36) 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 383728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597630852).

383728896 is an abundant number, since it is smaller than the sum of its proper divisors (811532808).

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

383728896 is a wasteful number, since it uses less digits than its factorization.

383728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 383728896 is about 19588.9993618868. Note that the first 3 decimals coincide. The cubic root of 383728896 is about 726.6771452444.

The spelling of 383728896 in words is "three hundred eighty-three million, seven hundred twenty-eight thousand, eight hundred ninety-six".