3928320 has 216 divisors, whose sum is σ = 15305472. Its totient is φ = 921600.

The previous prime is 3928319. The next prime is 3928361. The reversal of 3928320 is 238293.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126705 + ... + 126735.

Almost surely, 2^3928320 is an apocalyptic number.

3928320 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 3928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652736).

3928320 is an abundant number, since it is smaller than the sum of its proper divisors (11377152).

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

3928320 is a wasteful number, since it uses less digits than its factorization.

3928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3928320 is about 1981.9989909180. The cubic root of 3928320 is about 157.7861766048.

Subtracting from 3928320 its sum of digits (27), we obtain a palindrome (3928293).

The spelling of 3928320 in words is "three million, nine hundred twenty-eight thousand, three hundred twenty".