3928920 has 64 divisors (see below), whose sum is σ = 12204000. Its totient is φ = 1010688.

The previous prime is 3928913. The next prime is 3928931. The reversal of 3928920 is 298293.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2916 + ... + 4044.

Almost surely, 2^3928920 is an apocalyptic number.

3928920 is a gapful number since it is divisible by the number (30) 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 3928920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102000).

3928920 is an abundant number, since it is smaller than the sum of its proper divisors (8275080).

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

3928920 is a wasteful number, since it uses less digits than its factorization.

3928920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3928920 is about 1982.1503474762. The cubic root of 3928920 is about 157.7942094608.

The spelling of 3928920 in words is "three million, nine hundred twenty-eight thousand, nine hundred twenty".