9198973728 has 576 divisors, whose sum is σ = 33277870080. Its totient is φ = 2351462400.

The previous prime is 9198973727. The next prime is 9198973783. The reversal of 9198973728 is 8273798919.

9198973728 is a `hidden beast` number, since 91 + 98 + 97 + 372 + 8 = 666.

It is a super-2 number, since 2×9198973728² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9198973727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72432801 + ... + 72432927.

It is an arithmetic number, because the mean of its divisors is an integer number (57774080).

Almost surely, 2^9198973728 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 9198973728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16638935040).

9198973728 is an abundant number, since it is smaller than the sum of its proper divisors (24078896352).

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

9198973728 is a wasteful number, since it uses less digits than its factorization.

9198973728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The square root of 9198973728 is about 95911.2805044328. The cubic root of 9198973728 is about 2095.3011893552.

The spelling of 9198973728 in words is "nine billion, one hundred ninety-eight million, nine hundred seventy-three thousand, seven hundred twenty-eight".