198192852 has 192 divisors, whose sum is σ = 620363520. Its totient is φ = 53913600.

The previous prime is 198192833. The next prime is 198192853. The reversal of 198192852 is 258291891.

198192852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 198192798 and 198192807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198192853) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633048 + ... + 633360.

It is an arithmetic number, because the mean of its divisors is an integer number (3231060).

Almost surely, 2^198192852 is an apocalyptic number.

198192852 is a gapful number since it is divisible by the number (12) 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 198192852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310181760).

198192852 is an abundant number, since it is smaller than the sum of its proper divisors (422170668).

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

198192852 is a wasteful number, since it uses less digits than its factorization.

198192852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 198192852 is about 14078.0983090757. The cubic root of 198192852 is about 583.0368381310.

The spelling of 198192852 in words is "one hundred ninety-eight million, one hundred ninety-two thousand, eight hundred fifty-two".