198937728 has 128 divisors (see below), whose sum is σ = 640641600. Its totient is φ = 60272640.

The previous prime is 198937727. The next prime is 198937759. The reversal of 198937728 is 827739891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (198937727) 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 15 ways as a sum of consecutive naturals, for example, 35400 + ... + 40632.

Almost surely, 2^198937728 is an apocalyptic number.

198937728 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 198937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320320800).

198937728 is an abundant number, since it is smaller than the sum of its proper divisors (441703872).

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

198937728 is a wasteful number, since it uses less digits than its factorization.

198937728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5249 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 198937728 is about 14104.5286344493. The cubic root of 198937728 is about 583.7663417545.

The spelling of 198937728 in words is "one hundred ninety-eight million, nine hundred thirty-seven thousand, seven hundred twenty-eight".