2835328 has 32 divisors (see below), whose sum is σ = 5985360. Its totient is φ = 1333248.

The previous prime is 2835323. The next prime is 2835331. The reversal of 2835328 is 8235382.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2835328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835323) 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, 1525 + ... + 2827.

2^2835328 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 2835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992680).

2835328 is an abundant number, since it is smaller than the sum of its proper divisors (3150032).

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

2835328 is a wasteful number, since it uses less digits than its factorization.

2835328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1322 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 2835328 is about 1683.8432231060. The cubic root of 2835328 is about 141.5362774129.

The spelling of 2835328 in words is "two million, eight hundred thirty-five thousand, three hundred twenty-eight".