208793728 has 192 divisors, whose sum is σ = 529887960. Its totient is φ = 81100800.

The previous prime is 208793719. The next prime is 208793737. The reversal of 208793728 is 827397802.

It is an interprime number because it is at equal distance from previous prime (208793719) and next prime (208793737).

It can be written as a sum of positive squares in 4 ways, for example, as 113379904 + 95413824 = 10648^2 + 9768^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3422818 + ... + 3422878.

Almost surely, 2^208793728 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 208793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264943980).

208793728 is an abundant number, since it is smaller than the sum of its proper divisors (321094232).

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

208793728 is a wasteful number, since it uses less digits than its factorization.

208793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 208793728 is about 14449.6964674003. The cubic root of 208793728 is about 593.2519160542.

The spelling of 208793728 in words is "two hundred eight million, seven hundred ninety-three thousand, seven hundred twenty-eight".