2623728 has 40 divisors (see below), whose sum is σ = 6928128. Its totient is φ = 855232.

The previous prime is 2623723. The next prime is 2623757. The reversal of 2623728 is 8273262.

It is a d-powerful number, because it can be written as 2¹¹ + 6³ + 2¹⁹ + 3² + 7 + 2²¹ + 8 .

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2623695 and 2623704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2623721) 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 7 ways as a sum of consecutive naturals, for example, 1675 + ... + 2837.

2^2623728 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 2623728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464064).

2623728 is an abundant number, since it is smaller than the sum of its proper divisors (4304400).

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

2623728 is a wasteful number, since it uses less digits than its factorization.

2623728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1215 counting only the distinct ones).

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

The square root of 2623728 is about 1619.7925793138. The cubic root of 2623728 is about 137.9239236219.

The spelling of 2623728 in words is "two million, six hundred twenty-three thousand, seven hundred twenty-eight".