208628000 has 96 divisors (see below), whose sum is σ = 585906048. Its totient is φ = 71520000.

The previous prime is 208627997. The next prime is 208628011. The reversal of 208628000 is 826802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24275 + ... + 31725.

It is an arithmetic number, because the mean of its divisors is an integer number (6103188).

Almost surely, 2^208628000 is an apocalyptic number.

208628000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292953024).

208628000 is an abundant number, since it is smaller than the sum of its proper divisors (377278048).

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

208628000 is an equidigital number, since it uses as much as digits as its factorization.

208628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7483 (or 7465 counting only the distinct ones).

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

The square root of 208628000 is about 14443.9606756596. The cubic root of 208628000 is about 593.0949118519.

The spelling of 208628000 in words is "two hundred eight million, six hundred twenty-eight thousand".