3805928 has 64 divisors (see below), whose sum is σ = 8880000. Its totient is φ = 1524096.

The previous prime is 3805927. The next prime is 3805933. The reversal of 3805928 is 8295083.

3805928 = 14³ + 15³ + ... + 62³.

It is a super-3 number, since 3×3805928³ (a number of 21 digits) contains 333 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (3805927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52100 + ... + 52172.

It is an arithmetic number, because the mean of its divisors is an integer number (138750).

Almost surely, 2^3805928 is an apocalyptic number.

3805928 is a gapful number since it is divisible by the number (38) 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 3805928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440000).

3805928 is an abundant number, since it is smaller than the sum of its proper divisors (5074072).

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

3805928 is a wasteful number, since it uses less digits than its factorization.

3805928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 3805928 is about 1950.8787763467. The cubic root of 3805928 is about 156.1301784307.

The spelling of 3805928 in words is "three million, eight hundred five thousand, nine hundred twenty-eight".