208944028272 has 320 divisors, whose sum is σ = 636759244800. Its totient is φ = 57813212160.

The previous prime is 208944028217. The next prime is 208944028291. The reversal of 208944028272 is 272820449802.

208944028272 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526307178 + ... + 526307574.

It is an arithmetic number, because the mean of its divisors is an integer number (1989872640).

Almost surely, 2^208944028272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208944028272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318379622400).

208944028272 is an abundant number, since it is smaller than the sum of its proper divisors (427815216528).

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

208944028272 is a wasteful number, since it uses less digits than its factorization.

208944028272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 208944028272 in words is "two hundred eight billion, nine hundred forty-four million, twenty-eight thousand, two hundred seventy-two".