383272128 has 112 divisors (see below), whose sum is σ = 1132088160. Its totient is φ = 127153152.

The previous prime is 383272121. The next prime is 383272139. The reversal of 383272128 is 821272383.

It is a happy number.

383272128 is a `hidden beast` number, since 383 + 272 + 1 + 2 + 8 = 666.

It is a super-3 number, since 3×383272128³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 383272092 and 383272101.

It is not an unprimeable number, because it can be changed into a prime (383272121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505926 + ... + 506682.

It is an arithmetic number, because the mean of its divisors is an integer number (10107930).

Almost surely, 2^383272128 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 383272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566044080).

383272128 is an abundant number, since it is smaller than the sum of its proper divisors (748816032).

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

383272128 is a wasteful number, since it uses less digits than its factorization.

383272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1055 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 383272128 is about 19577.3371018635. The cubic root of 383272128 is about 726.3886997149.

The spelling of 383272128 in words is "three hundred eighty-three million, two hundred seventy-two thousand, one hundred twenty-eight".