1728085752 has 112 divisors (see below), whose sum is σ = 4885710000. Its totient is φ = 572749056.

The previous prime is 1728085721. The next prime is 1728085757. The reversal of 1728085752 is 2575808271.

1728085752 is a `hidden beast` number, since 1 + 72 + 8 + 0 + 8 + 575 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1728085698 and 1728085707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728085757) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1159824 + ... + 1161312.

Almost surely, 2^1728085752 is an apocalyptic number.

1728085752 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 1728085752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442855000).

1728085752 is an abundant number, since it is smaller than the sum of its proper divisors (3157624248).

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

1728085752 is a wasteful number, since it uses less digits than its factorization.

1728085752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 1728085752 is about 41570.2508051130. The cubic root of 1728085752 is about 1200.0198496717.

The spelling of 1728085752 in words is "one billion, seven hundred twenty-eight million, eighty-five thousand, seven hundred fifty-two".