97993728000 has 1344 divisors, whose sum is σ = 425276467200. Its totient is φ = 21676032000.

The previous prime is 97993727983. The next prime is 97993728013. The reversal of 97993728000 is 82739979.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3161087985 + ... + 3161088015.

Almost surely, 2^97993728000 is an apocalyptic number.

97993728000 is a gapful number since it is divisible by the number (90) 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 97993728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212638233600).

97993728000 is an abundant number, since it is smaller than the sum of its proper divisors (327282739200).

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

97993728000 is an equidigital number, since it uses as much as digits as its factorization.

97993728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 97993728000 in words is "ninety-seven billion, nine hundred ninety-three million, seven hundred twenty-eight thousand".