208528768 has 64 divisors (see below), whose sum is σ = 477457920. Its totient is φ = 88865280.

The previous prime is 208528759. The next prime is 208528799. The reversal of 208528768 is 867825802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 188505 + ... + 189607.

It is an arithmetic number, because the mean of its divisors is an integer number (7460280).

Almost surely, 2^208528768 is an apocalyptic number.

208528768 is a gapful number since it is divisible by the number (28) 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 208528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238728960).

208528768 is an abundant number, since it is smaller than the sum of its proper divisors (268929152).

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

208528768 is a wasteful number, since it uses less digits than its factorization.

208528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 208528768 is about 14440.5251982052. The cubic root of 208528768 is about 593.0008635492. Note that the first 3 decimals are identical.

The spelling of 208528768 in words is "two hundred eight million, five hundred twenty-eight thousand, seven hundred sixty-eight".