263728 has 20 divisors (see below), whose sum is σ = 522288. Its totient is φ = 128960.

The previous prime is 263723. The next prime is 263729. The reversal of 263728 is 827362.

It is a d-powerful number, because it can be written as 2⁸ + 6³ + 7 + 3⁴ + 2¹⁰ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 263696 and 263705.

It is not an unprimeable number, because it can be changed into a prime (263723) by changing a digit.

263728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 693 + ... + 1003.

2²⁶³⁷²⁸ is an apocalyptic number.

It is an amenable number.

263728 is a deficient number, since it is larger than the sum of its proper divisors (258560).

263728 is a wasteful number, since it uses less digits than its factorization.

263728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 263728 is about 513.5445452928. The cubic root of 263728 is about 64.1286474803.

The spelling of 263728 in words is "two hundred sixty-three thousand, seven hundred twenty-eight".