3928128 has 56 divisors (see below), whose sum is σ = 10668000. Its totient is φ = 1274880.

The previous prime is 3928123. The next prime is 3928151. The reversal of 3928128 is 8218293.

It is not an unprimeable number, because it can be changed into a prime (3928123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7623 + ... + 8121.

It is an arithmetic number, because the mean of its divisors is an integer number (190500).

Almost surely, 2^3928128 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 3928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334000).

3928128 is an abundant number, since it is smaller than the sum of its proper divisors (6739872).

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

3928128 is a wasteful number, since it uses less digits than its factorization.

3928128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 3928128 is about 1981.9505543782. The cubic root of 3928128 is about 157.7836059181.

The spelling of 3928128 in words is "three million, nine hundred twenty-eight thousand, one hundred twenty-eight".