208448928 has 72 divisors (see below), whose sum is σ = 598616928. Its totient is φ = 68798592.

The previous prime is 208448909. The next prime is 208448941. The reversal of 208448928 is 829844802.

It is a happy number.

208448928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 26151 + ... + 33177.

It is an arithmetic number, because the mean of its divisors is an integer number (8314124).

Almost surely, 2^208448928 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 208448928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299308464).

208448928 is an abundant number, since it is smaller than the sum of its proper divisors (390168000).

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

208448928 is a wasteful number, since it uses less digits than its factorization.

208448928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7146 (or 7135 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 208448928 is about 14437.7604911565. The cubic root of 208448928 is about 592.9251725817.

The spelling of 208448928 in words is "two hundred eight million, four hundred forty-eight thousand, nine hundred twenty-eight".