2627328 has 72 divisors (see below), whose sum is σ = 7652736. Its totient is φ = 793600.

The previous prime is 2627297. The next prime is 2627357. The reversal of 2627328 is 8237262.

It is a d-powerful number, because it can be written as 2² + 6⁴ + 2¹⁸ + 7⁴ + 3⁷ + 2²¹ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 2627295 and 2627304.

It is a congruent 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, 8293 + ... + 8603.

It is an arithmetic number, because the mean of its divisors is an integer number (106288).

2^2627328 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 2627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826368).

2627328 is an abundant number, since it is smaller than the sum of its proper divisors (5025408).

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

2627328 is a wasteful number, since it uses less digits than its factorization.

2627328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2627328 is about 1620.9034517824. The cubic root of 2627328 is about 137.9869762967.

The spelling of 2627328 in words is "two million, six hundred twenty-seven thousand, three hundred twenty-eight".