908328096 has 288 divisors, whose sum is σ = 2927957760. Its totient is φ = 265254912.

The previous prime is 908328077. The next prime is 908328101. The reversal of 908328096 is 690823809.

908328096 is digitally balanced in base 2, 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 (288).

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, 10943671 + ... + 10943753.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2^908328096 is an apocalyptic number.

908328096 is a gapful number since it is divisible by the number (96) 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 908328096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463978880).

908328096 is an abundant number, since it is smaller than the sum of its proper divisors (2019629664).

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

908328096 is a wasteful number, since it uses less digits than its factorization.

908328096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 908328096 is about 30138.4819790248. The cubic root of 908328096 is about 968.4582785528.

The spelling of 908328096 in words is "nine hundred eight million, three hundred twenty-eight thousand, ninety-six".