198028800 has 300 divisors, whose sum is σ = 736756416. Its totient is φ = 52531200.

The previous prime is 198028793. The next prime is 198028819. The reversal of 198028800 is 8820891.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 1036705 + ... + 1036895.

Almost surely, 2^198028800 is an apocalyptic number.

198028800 is a gapful number since it is divisible by the number (10) 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 198028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368378208).

198028800 is an abundant number, since it is smaller than the sum of its proper divisors (538727616).

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

198028800 is an equidigital number, since it uses as much as digits as its factorization.

198028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 198028800 is about 14072.2706056983. The cubic root of 198028800 is about 582.8759262360.

The spelling of 198028800 in words is "one hundred ninety-eight million, twenty-eight thousand, eight hundred".