97852339728 has 960 divisors, whose sum is σ = 359400996864. Its totient is φ = 24385536000.

The previous prime is 97852339693. The next prime is 97852339729. The reversal of 97852339728 is 82793325879.

97852339728 is a `hidden beast` number, since 9 + 7 + 8 + 523 + 39 + 72 + 8 = 666.

It is a super-2 number, since 2×97852339728² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97852339729) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 770490801 + ... + 770490927.

Almost surely, 2^97852339728 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 97852339728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179700498432).

97852339728 is an abundant number, since it is smaller than the sum of its proper divisors (261548657136).

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

97852339728 is a wasteful number, since it uses less digits than its factorization.

97852339728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

It can be divided in two parts, 97852 and 339728, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 97852339728 in words is "ninety-seven billion, eight hundred fifty-two million, three hundred thirty-nine thousand, seven hundred twenty-eight".