265728 has 40 divisors (see below), whose sum is σ = 712008. Its totient is φ = 88064.

The previous prime is 265717. The next prime is 265729. The reversal of 265728 is 827562.

It is a super-2 number, since 2×265728² = 141222739968, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁴ + 6² + 7³ + 5⁵ + 2¹⁸ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 265695 and 265704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265729) by changing a digit.

265728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1450 + ... + 1622.

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 265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356004).

265728 is an abundant number, since it is smaller than the sum of its proper divisors (446280).

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

265728 is an equidigital number, since it uses as much as digits as its factorization.

265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 265728 is about 515.4881181948. The cubic root of 265728 is about 64.2903474615.

The spelling of 265728 in words is "two hundred sixty-five thousand, seven hundred twenty-eight".