197872128 has 120 divisors (see below), whose sum is σ = 596220768. Its totient is φ = 63055872.

The previous prime is 197872123. The next prime is 197872141. The reversal of 197872128 is 821278791.

It is not an unprimeable number, because it can be changed into a prime (197872123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105051 + ... + 106917.

Almost surely, 2^197872128 is an apocalyptic number.

197872128 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 197872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298110384).

197872128 is an abundant number, since it is smaller than the sum of its proper divisors (398348640).

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

197872128 is a wasteful number, since it uses less digits than its factorization.

197872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1895 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 197872128 is about 14066.7028119599. The cubic root of 197872128 is about 582.7221700978.

The spelling of 197872128 in words is "one hundred ninety-seven million, eight hundred seventy-two thousand, one hundred twenty-eight".