208628 has 12 divisors (see below), whose sum is σ = 417312. Its totient is φ = 89400.

The previous prime is 208627. The next prime is 208631. The reversal of 208628 is 826802.

208628 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 208597 and 208606.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208628.

It is not an unprimeable number, because it can be changed into a prime (208627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3698 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (34776).

2²⁰⁸⁶²⁸ is an apocalyptic number.

208628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

208628 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

208628 is a wasteful number, since it uses less digits than its factorization.

208628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 208628 is about 456.7581416899. The cubic root of 208628 is about 59.3094911852.

The spelling of 208628 in words is "two hundred eight thousand, six hundred twenty-eight".