197128032 has 96 divisors (see below), whose sum is σ = 547803648. Its totient is φ = 61940736.

The previous prime is 197127967. The next prime is 197128033. The reversal of 197128032 is 230821791.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×197128032² = 77718922000386048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 197127984 and 197128002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197128033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160573 + ... + 161795.

It is an arithmetic number, because the mean of its divisors is an integer number (5706288).

Almost surely, 2^197128032 is an apocalyptic number.

197128032 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 197128032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273901824).

197128032 is an abundant number, since it is smaller than the sum of its proper divisors (350675616).

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

197128032 is a wasteful number, since it uses less digits than its factorization.

197128032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 197128032 is about 14040.2290579606. The cubic root of 197128032 is about 581.9908124339.

Multiplying 197128032 by its sum of digits (33), we get a palindrome (6505225056).

It can be divided in two parts, 1971 and 28032, that added together give a palindrome (30003).

The spelling of 197128032 in words is "one hundred ninety-seven million, one hundred twenty-eight thousand, thirty-two".