262728 has 48 divisors (see below), whose sum is σ = 737100. Its totient is φ = 84480.

The previous prime is 262723. The next prime is 262733. The reversal of 262728 is 827262.

It is an interprime number because it is at equal distance from previous prime (262723) and next prime (262733).

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 49284 = 462^2 + 222^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262723) by changing a digit.

262728 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 11 ways as a sum of consecutive naturals, for example, 2908 + ... + 2996.

2²⁶²⁷²⁸ 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 262728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368550).

262728 is an abundant number, since it is smaller than the sum of its proper divisors (474372).

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

262728 is a wasteful number, since it uses less digits than its factorization.

262728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 262728 is about 512.5699952202. The cubic root of 262728 is about 64.0474907927.

It can be divided in two parts, 262 and 728, that added together give a triangular number (990 = T₄₄).

The spelling of 262728 in words is "two hundred sixty-two thousand, seven hundred twenty-eight".