2827264 has 44 divisors (see below), whose sum is σ = 6190128. Its totient is φ = 1280000.

The previous prime is 2827241. The next prime is 2827267. The reversal of 2827264 is 4627282.

2827264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (2827267) 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, 11139 + ... + 11389.

2^2827264 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 2827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095064).

2827264 is an abundant number, since it is smaller than the sum of its proper divisors (3362864).

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

2827264 is a wasteful number, since it uses less digits than its factorization.

2827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 2827264 is about 1681.4469958937. The cubic root of 2827264 is about 141.4019681670.

The spelling of 2827264 in words is "two million, eight hundred twenty-seven thousand, two hundred sixty-four".