304528404096 has 384 divisors, whose sum is σ = 1031664067200. Its totient is φ = 84401823744.

The previous prime is 304528404083. The next prime is 304528404101. The reversal of 304528404096 is 690404825403.

304528404096 is a `hidden beast` number, since 30 + 4 + 528 + 4 + 0 + 4 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113080126 + ... + 113082818.

It is an arithmetic number, because the mean of its divisors is an integer number (2686625175).

Almost surely, 2^304528404096 is an apocalyptic number.

304528404096 is a gapful number since it is divisible by the number (36) 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 304528404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515832033600).

304528404096 is an abundant number, since it is smaller than the sum of its proper divisors (727135663104).

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

304528404096 is a wasteful number, since it uses less digits than its factorization.

304528404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 304528404096 in words is "three hundred four billion, five hundred twenty-eight million, four hundred four thousand, ninety-six".