3928000 has 56 divisors (see below), whose sum is σ = 9747504. Its totient is φ = 1568000.

The previous prime is 3927997. The next prime is 3928013. The reversal of 3928000 is 8293.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7755 + ... + 8245.

Almost surely, 2^3928000 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 3928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873752).

3928000 is an abundant number, since it is smaller than the sum of its proper divisors (5819504).

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

3928000 is an equidigital number, since it uses as much as digits as its factorization.

3928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 3928000 is about 1981.9182626940. The cubic root of 3928000 is about 157.7818920805.

The spelling of 3928000 in words is "three million, nine hundred twenty-eight thousand".