10097353728 has 1056 divisors, whose sum is σ = 41201491968. Its totient is φ = 2388787200.

The previous prime is 10097353723. The next prime is 10097353741. The reversal of 10097353728 is 82735379001.

It is a happy number.

10097353728 is a `hidden beast` number, since 1 + 0 + 0 + 97 + 3 + 537 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097353723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325721073 + ... + 325721103.

Almost surely, 2^10097353728 is an apocalyptic number.

10097353728 is a gapful number since it is divisible by the number (18) 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 10097353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20600745984).

10097353728 is an abundant number, since it is smaller than the sum of its proper divisors (31104138240).

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

10097353728 is a wasteful number, since it uses less digits than its factorization.

10097353728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10097353728 in words is "ten billion, ninety-seven million, three hundred fifty-three thousand, seven hundred twenty-eight".