2783328 has 48 divisors (see below), whose sum is σ = 7418880. Its totient is φ = 913536.

The previous prime is 2783323. The next prime is 2783353. The reversal of 2783328 is 8233872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2783321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7401 + ... + 7767.

It is an arithmetic number, because the mean of its divisors is an integer number (154560).

2^2783328 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 2783328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709440).

2783328 is an abundant number, since it is smaller than the sum of its proper divisors (4635552).

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

2783328 is a wasteful number, since it uses less digits than its factorization.

2783328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 2783328 is about 1668.3309024291. The cubic root of 2783328 is about 140.6656733706.

The spelling of 2783328 in words is "two million, seven hundred eighty-three thousand, three hundred twenty-eight".