197432928 has 288 divisors, whose sum is σ = 726485760. Its totient is φ = 49351680.

The previous prime is 197432903. The next prime is 197432941. The reversal of 197432928 is 829234791.

197432928 is a `hidden beast` number, since 197 + 432 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×197432928² = 77959522117306368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642951 + ... + 643257.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^197432928 is an apocalyptic number.

197432928 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 197432928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

197432928 is an abundant number, since it is smaller than the sum of its proper divisors (529052832).

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

197432928 is a wasteful number, since it uses less digits than its factorization.

197432928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 197432928 is about 14051.0828052503. The cubic root of 197432928 is about 582.2907110370.

The spelling of 197432928 in words is "one hundred ninety-seven million, four hundred thirty-two thousand, nine hundred twenty-eight".