171404928 has 192 divisors, whose sum is σ = 534643200. Its totient is φ = 52531200.

The previous prime is 171404873. The next prime is 171404941. The reversal of 171404928 is 829404171.

171404928 is digitally balanced in base 3, 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 171404892 and 171404901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897313 + ... + 897503.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 2^171404928 is an apocalyptic number.

171404928 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 171404928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

171404928 is an abundant number, since it is smaller than the sum of its proper divisors (363238272).

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

171404928 is a wasteful number, since it uses less digits than its factorization.

171404928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 171404928 is about 13092.1704846828. The cubic root of 171404928 is about 555.4876843190.

The spelling of 171404928 in words is "one hundred seventy-one million, four hundred four thousand, nine hundred twenty-eight".