1728841536 has 112 divisors (see below), whose sum is σ = 5100401280. Its totient is φ = 574248960.

The previous prime is 1728841493. The next prime is 1728841549. The reversal of 1728841536 is 6351488271.

1728841536 is a `hidden beast` number, since 1 + 72 + 8 + 8 + 41 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1728841491 and 1728841500.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 535800 + ... + 539016.

Almost surely, 2^1728841536 is an apocalyptic number.

1728841536 is a gapful number since it is divisible by the number (16) 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 1728841536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550200640).

1728841536 is an abundant number, since it is smaller than the sum of its proper divisors (3371559744).

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

1728841536 is a wasteful number, since it uses less digits than its factorization.

1728841536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3533 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1728841536 is about 41579.3402545062. The cubic root of 1728841536 is about 1200.1947683860.

The spelling of 1728841536 in words is "one billion, seven hundred twenty-eight million, eight hundred forty-one thousand, five hundred thirty-six".