1729728576 has 168 divisors, whose sum is σ = 5191906304. Its totient is φ = 549918720.

The previous prime is 1729728551. The next prime is 1729728613. The reversal of 1729728576 is 6758279271.

It is a happy number.

1729728576 is a `hidden beast` number, since 1 + 7 + 297 + 285 + 76 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1302825 + ... + 1304151.

Almost surely, 2^1729728576 is an apocalyptic number.

1729728576 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 1729728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595953152).

1729728576 is an abundant number, since it is smaller than the sum of its proper divisors (3462177728).

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

1729728576 is a wasteful number, since it uses less digits than its factorization.

1729728576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1436 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The square root of 1729728576 is about 41590.0057225291. The cubic root of 1729728576 is about 1200.3999999852.

The spelling of 1729728576 in words is "one billion, seven hundred twenty-nine million, seven hundred twenty-eight thousand, five hundred seventy-six".