3286728 has 48 divisors (see below), whose sum is σ = 8985600. Its totient is φ = 1085280.

The previous prime is 3286721. The next prime is 3286739. The reversal of 3286728 is 8276823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3⁴ + 2¹⁴ + 8⁴ + 6⁷ + 7⁷ + 2¹⁶ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 3286692 and 3286701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3286721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13633 + ... + 13871.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

Almost surely, 2^3286728 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 3286728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492800).

3286728 is an abundant number, since it is smaller than the sum of its proper divisors (5698872).

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

3286728 is a wasteful number, since it uses less digits than its factorization.

3286728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 435 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3286728 is about 1812.9335343581. The cubic root of 3286728 is about 148.6806969494.

It can be divided in two parts, 328 and 6728, that added together give a square (7056 = 84²).

The spelling of 3286728 in words is "three million, two hundred eighty-six thousand, seven hundred twenty-eight".