3928896 has 84 divisors (see below), whose sum is σ = 11887200. Its totient is φ = 1237248.

The previous prime is 3928849. The next prime is 3928913. The reversal of 3928896 is 6988293.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

3928896 is a Rhonda number in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10765 + ... + 11123.

Almost surely, 2^3928896 is an apocalyptic number.

3928896 is a gapful number since it is divisible by the number (36) 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 3928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943600).

3928896 is an abundant number, since it is smaller than the sum of its proper divisors (7958304).

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

3928896 is a wasteful number, since it uses less digits than its factorization.

3928896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3928896 is about 1982.1442934358. The cubic root of 3928896 is about 157.7938881622.

The spelling of 3928896 in words is "three million, nine hundred twenty-eight thousand, eight hundred ninety-six".