263628 has 24 divisors (see below), whose sum is σ = 683760. Its totient is φ = 87840.

The previous prime is 263621. The next prime is 263647. The reversal of 263628 is 826362.

263628 is a `hidden beast` number, since 2 + 636 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (263621) 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 7 ways as a sum of consecutive naturals, for example, 1113 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (28490).

2²⁶³⁶²⁸ is an apocalyptic number.

It is an amenable number.

263628 is an abundant number, since it is smaller than the sum of its proper divisors (420132).

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

263628 is a wasteful number, since it uses less digits than its factorization.

With its successor (263629) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2446).

263628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2446 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 263628 is about 513.4471735242. The cubic root of 263628 is about 64.1205410531.

The spelling of 263628 in words is "two hundred sixty-three thousand, six hundred twenty-eight".