97428035907072 has 1200 divisors, whose sum is σ = 322313077540080. Its totient is φ = 29279173607424.

The previous prime is 97428035907017. The next prime is 97428035907077. The reversal of 97428035907072 is 27070953082479.

97428035907072 is a `hidden beast` number, since 9 + 74 + 2 + 80 + 359 + 0 + 70 + 72 = 666.

It is a super-2 number, since 2×97428035907072² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97428035907077) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55768766103 + ... + 55768767849.

Almost surely, 2^{97428035907072} 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 97428035907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161156538770040).

97428035907072 is an abundant number, since it is smaller than the sum of its proper divisors (224885041633008).

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

97428035907072 is a wasteful number, since it uses less digits than its factorization.

97428035907072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 97428035907072 in words is "ninety-seven trillion, four hundred twenty-eight billion, thirty-five million, nine hundred seven thousand, seventy-two".