2827638 has 24 divisors (see below), whose sum is σ = 6683976. Its totient is φ = 856800.

The previous prime is 2827633. The next prime is 2827639. The reversal of 2827638 is 8367282.

It is a happy number.

It is a d-powerful number, because it can be written as 2¹⁷ + 8⁵ + 2²¹ + 7⁴ + 6² + 3¹² + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2827631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6943 + ... + 7338.

It is an arithmetic number, because the mean of its divisors is an integer number (278499).

2^2827638 is an apocalyptic number.

2827638 is an abundant number, since it is smaller than the sum of its proper divisors (3856338).

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

2827638 is a wasteful number, since it uses less digits than its factorization.

2827638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14300 (or 14297 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2827638 is about 1681.5582059507. The cubic root of 2827638 is about 141.4082029349.

The spelling of 2827638 in words is "two million, eight hundred twenty-seven thousand, six hundred thirty-eight".