382728276 has 144 divisors (see below), whose sum is σ = 1199802240. Its totient is φ = 100362240.

The previous prime is 382728271. The next prime is 382728277. The reversal of 382728276 is 672827283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382728271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174555 + ... + 176733.

It is an arithmetic number, because the mean of its divisors is an integer number (8331960).

Almost surely, 2^382728276 is an apocalyptic number.

382728276 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 382728276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599901120).

382728276 is an abundant number, since it is smaller than the sum of its proper divisors (817073964).

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

382728276 is a wasteful number, since it uses less digits than its factorization.

382728276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2249 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 382728276 is about 19563.4423351311. The cubic root of 382728276 is about 726.0449622678.

The spelling of 382728276 in words is "three hundred eighty-two million, seven hundred twenty-eight thousand, two hundred seventy-six".