2785328 has 40 divisors (see below), whose sum is σ = 6645408. Its totient is φ = 1101312.

The previous prime is 2785313. The next prime is 2785333. The reversal of 2785328 is 8235872.

It is a happy number.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500 + ... + 2412.

2^2785328 is an apocalyptic number.

2785328 is a gapful number since it is divisible by the number (28) 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 2785328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322704).

2785328 is an abundant number, since it is smaller than the sum of its proper divisors (3860080).

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

2785328 is a wasteful number, since it uses less digits than its factorization.

2785328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1935 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 2785328 is about 1668.9301962635. The cubic root of 2785328 is about 140.6993577452.

It can be divided in two parts, 2785 and 328, that added together give a palindrome (3113).

The spelling of 2785328 in words is "two million, seven hundred eighty-five thousand, three hundred twenty-eight".