2265728 has 32 divisors (see below), whose sum is σ = 4667520. Its totient is φ = 1094400.

The previous prime is 2265727. The next prime is 2265737. The reversal of 2265728 is 8275622.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2² + 2¹⁴ + 6⁴ + 5⁹ + 7 + 2¹⁸ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 2265694 and 2265703.

It is not an unprimeable number, because it can be changed into a prime (2265721) 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, 3683 + ... + 4253.

It is an arithmetic number, because the mean of its divisors is an integer number (145860).

2^2265728 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 2265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333760).

2265728 is an abundant number, since it is smaller than the sum of its proper divisors (2401792).

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

2265728 is an equidigital number, since it uses as much as digits as its factorization.

2265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 2265728 is about 1505.2335366979. The cubic root of 2265728 is about 131.3416871069.

The spelling of 2265728 in words is "two million, two hundred sixty-five thousand, seven hundred twenty-eight".