3928144 has 30 divisors (see below), whose sum is σ = 8369690. Its totient is φ = 1784640.

The previous prime is 3928123. The next prime is 3928151. The reversal of 3928144 is 4418293.

3928144 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 only one way, i.e., 3920400 + 7744 = 1980^2 + 88^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 922 + ... + 2950.

Almost surely, 2^3928144 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 3928144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184845).

3928144 is an abundant number, since it is smaller than the sum of its proper divisors (4441546).

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

3928144 is a wasteful number, since it uses less digits than its factorization.

3928144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2042 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 3928144 is about 1981.9545908017. The cubic root of 3928144 is about 157.7838201452.

The spelling of 3928144 in words is "three million, nine hundred twenty-eight thousand, one hundred forty-four".