2083328 has 40 divisors (see below), whose sum is σ = 4497108. Its totient is φ = 958464.

The previous prime is 2083321. The next prime is 2083339. The reversal of 2083328 is 8233802.

It can be written as a sum of positive squares in 2 ways, for example, as 1517824 + 565504 = 1232^2 + 752^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2083297 and 2083306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6500 + ... + 6812.

2^2083328 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 2083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248554).

2083328 is an abundant number, since it is smaller than the sum of its proper divisors (2413780).

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

2083328 is an equidigital number, since it uses as much as digits as its factorization.

2083328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2083328 is about 1443.3738254520. The cubic root of 2083328 is about 127.7181297459.

It can be divided in two parts, 208 and 3328, that multiplied together give a square (692224 = 832²).

The spelling of 2083328 in words is "two million, eighty-three thousand, three hundred twenty-eight".