97985204928 has 882 divisors, whose sum is σ = 343135794804. Its totient is φ = 27715903488.

The previous prime is 97985204921. The next prime is 97985204983. The reversal of 97985204928 is 82940258979.

It is a happy number.

97985204928 is a `hidden beast` number, since 9 + 7 + 98 + 52 + 0 + 492 + 8 = 666.

It is a super-2 number, since 2×97985204928² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97985204921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 2278725675 + ... + 2278725717.

Almost surely, 2^97985204928 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 97985204928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171567897402).

97985204928 is an abundant number, since it is smaller than the sum of its proper divisors (245150589876).

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

97985204928 is a wasteful number, since it uses less digits than its factorization.

97985204928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 97985204928 in words is "ninety-seven billion, nine hundred eighty-five million, two hundred four thousand, nine hundred twenty-eight".