288628 has 12 divisors (see below), whose sum is σ = 514080. Its totient is φ = 141752.

The previous prime is 288583. The next prime is 288647. The reversal of 288628 is 826882.

It is a happy number.

It is a super-2 number, since 2×288628² = 166612244768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 288593 and 288602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 376 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2²⁸⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

288628 is a deficient number, since it is larger than the sum of its proper divisors (225452).

288628 is a wasteful number, since it uses less digits than its factorization.

288628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1284 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 288628 is about 537.2411004382. The cubic root of 288628 is about 66.0865103697.

It can be divided in two parts, 2886 and 28, that multiplied together give a palindrome (80808).

The spelling of 288628 in words is "two hundred eighty-eight thousand, six hundred twenty-eight".