2665728 has 108 divisors (see below), whose sum is σ = 8370180. Its totient is φ = 811008.

The previous prime is 2665727. The next prime is 2665763. The reversal of 2665728 is 8275662.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 2214144 = 672^2 + 1488^2 .

It is a super-2 number, since 2×2665728² = 14212211539968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁶ + 6³ + 6⁶ + 5⁸ + 7 + 2¹⁶ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2665692 and 2665701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2665727) 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, 29908 + ... + 29996.

2^2665728 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 2665728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185090).

2665728 is an abundant number, since it is smaller than the sum of its proper divisors (5704452).

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

2665728 is a wasteful number, since it uses less digits than its factorization.

2665728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2665728 is about 1632.7057297627. The cubic root of 2665728 is about 138.6559820827.

The spelling of 2665728 in words is "two million, six hundred sixty-five thousand, seven hundred twenty-eight".