198867097728 has 256 divisors, whose sum is σ = 634282185600. Its totient is φ = 60977000448.

The previous prime is 198867097721. The next prime is 198867097729. The reversal of 198867097728 is 827790768891.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (198867097721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13156351 + ... + 13171457.

Almost surely, 2^198867097728 is an apocalyptic number.

198867097728 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 198867097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317141092800).

198867097728 is an abundant number, since it is smaller than the sum of its proper divisors (435415087872).

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

198867097728 is a wasteful number, since it uses less digits than its factorization.

198867097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15436 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 72.

The spelling of 198867097728 in words is "one hundred ninety-eight billion, eight hundred sixty-seven million, ninety-seven thousand, seven hundred twenty-eight".