208728000 has 336 divisors, whose sum is σ = 807695616. Its totient is φ = 51148800.

The previous prime is 208727983. The next prime is 208728049. The reversal of 208728000 is 827802.

208728000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935889 + ... + 936111.

It is an arithmetic number, because the mean of its divisors is an integer number (2403856).

Almost surely, 2^208728000 is an apocalyptic number.

208728000 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 208728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403847808).

208728000 is an abundant number, since it is smaller than the sum of its proper divisors (598967616).

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

208728000 is a wasteful number, since it uses less digits than its factorization.

208728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 208728000 is about 14447.4219153453. The cubic root of 208728000 is about 593.1896578713.

The spelling of 208728000 in words is "two hundred eight million, seven hundred twenty-eight thousand".