2826432 has 84 divisors (see below), whose sum is σ = 9272016. Its totient is φ = 806400.

The previous prime is 2826431. The next prime is 2826443. The reversal of 2826432 is 2346282.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2826396 and 2826405.

It is not an unprimeable number, because it can be changed into a prime (2826431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3682 + ... + 4382.

2^2826432 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 2826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636008).

2826432 is an abundant number, since it is smaller than the sum of its proper divisors (6445584).

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

2826432 is a wasteful number, since it uses less digits than its factorization.

2826432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2826432 is about 1681.1995717344. The cubic root of 2826432 is about 141.3880963367.

The spelling of 2826432 in words is "two million, eight hundred twenty-six thousand, four hundred thirty-two".