3928288 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1451520.

The previous prime is 3928283. The next prime is 3928303. The reversal of 3928288 is 8828293.

It is a super-2 number, since 2×3928288² = 30862893221888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3928288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928283) 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, 55293 + ... + 55363.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 2^3928288 is an apocalyptic number.

3928288 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 3928288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3928288 is an abundant number, since it is smaller than the sum of its proper divisors (6232352).

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

3928288 is a wasteful number, since it uses less digits than its factorization.

3928288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 3928288 is about 1981.9909182436. The cubic root of 3928288 is about 157.7857481628.

The spelling of 3928288 in words is "three million, nine hundred twenty-eight thousand, two hundred eighty-eight".