97905928608 has 288 divisors, whose sum is σ = 298695720960. Its totient is φ = 31527325440.

The previous prime is 97905928559. The next prime is 97905928613. The reversal of 97905928608 is 80682950979.

It is a tau number, because it is divible by the number of its divisors (288).

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, 28870593 + ... + 28873983.

It is an arithmetic number, because the mean of its divisors is an integer number (1037137920).

Almost surely, 2^97905928608 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 97905928608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149347860480).

97905928608 is an abundant number, since it is smaller than the sum of its proper divisors (200789792352).

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

97905928608 is a wasteful number, since it uses less digits than its factorization.

97905928608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 97905928608 in words is "ninety-seven billion, nine hundred five million, nine hundred twenty-eight thousand, six hundred eight".