171145728 has 120 divisors (see below), whose sum is σ = 532119588. Its totient is φ = 52641792.

The previous prime is 171145717. The next prime is 171145729. The reversal of 171145728 is 827541171.

171145728 is a `hidden beast` number, since 1 + 71 + 14 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 169208064 + 1937664 = 13008^2 + 1392^2 .

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 = 171145692 and 171145701.

It is not an unprimeable number, because it can be changed into a prime (171145729) 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, 58476 + ... + 61332.

Almost surely, 2^171145728 is an apocalyptic number.

171145728 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 171145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266059794).

171145728 is an abundant number, since it is smaller than the sum of its proper divisors (360973860).

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

171145728 is a wasteful number, since it uses less digits than its factorization.

171145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2875 counting only the distinct ones).

The product of its digits is 15680, while the sum is 36.

The square root of 171145728 is about 13082.2676933321. The cubic root of 171145728 is about 555.2075386475.

Adding to 171145728 its reverse (827541171), we get a palindrome (998686899).

The spelling of 171145728 in words is "one hundred seventy-one million, one hundred forty-five thousand, seven hundred twenty-eight".