3992328 has 80 divisors (see below), whose sum is σ = 11478060. Its totient is φ = 1296000.

The previous prime is 3992327. The next prime is 3992333. The reversal of 3992328 is 8232993.

3992328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3992004 + 324 = 1998^2 + 18^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3992292 and 3992301.

It is not an unprimeable number, because it can be changed into a prime (3992323) 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 19 ways as a sum of consecutive naturals, for example, 39478 + ... + 39578.

Almost surely, 2^3992328 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 3992328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739030).

3992328 is an abundant number, since it is smaller than the sum of its proper divisors (7485732).

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

3992328 is a wasteful number, since it uses less digits than its factorization.

3992328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3992328 is about 1998.0810794360. The cubic root of 3992328 is about 158.6385524024.

The spelling of 3992328 in words is "three million, nine hundred ninety-two thousand, three hundred twenty-eight".