198728928 has 72 divisors (see below), whose sum is σ = 566800416. Its totient is φ = 66048000.

The previous prime is 198728917. The next prime is 198728951. The reversal of 198728928 is 829827891.

198728928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

Its product of digits (1161216) is a multiple of the sum of its prime factors (2048).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123328 + ... + 124928.

It is an arithmetic number, because the mean of its divisors is an integer number (7872228).

Almost surely, 2^198728928 is an apocalyptic number.

198728928 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 198728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283400208).

198728928 is an abundant number, since it is smaller than the sum of its proper divisors (368071488).

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

198728928 is a wasteful number, since it uses less digits than its factorization.

198728928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2037 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 198728928 is about 14097.1248132376. The cubic root of 198728928 is about 583.5620348044.

The spelling of 198728928 in words is "one hundred ninety-eight million, seven hundred twenty-eight thousand, nine hundred twenty-eight".