3905928 has 96 divisors (see below), whose sum is σ = 11858400. Its totient is φ = 1190592.

The previous prime is 3905911. The next prime is 3905933. The reversal of 3905928 is 8295093.

3905928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3905892 and 3905901.

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 23 ways as a sum of consecutive naturals, for example, 36451 + ... + 36557.

It is an arithmetic number, because the mean of its divisors is an integer number (123525).

Almost surely, 2^3905928 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 3905928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929200).

3905928 is an abundant number, since it is smaller than the sum of its proper divisors (7952472).

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

3905928 is a wasteful number, since it uses less digits than its factorization.

3905928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3905928 is about 1976.3420756539. The cubic root of 3905928 is about 157.4858037091.

The spelling of 3905928 in words is "three million, nine hundred five thousand, nine hundred twenty-eight".