1729000000 has 392 divisors, whose sum is σ = 5556178880. Its totient is φ = 518400000.

The previous prime is 1728999997. The next prime is 1729000027. The reversal of 1729000000 is 9271.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1729000000 = 100³ + 1200³ = 900³ + 1000³.

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 55 ways as a sum of consecutive naturals, for example, 90999991 + ... + 91000009.

Almost surely, 2^1729000000 is an apocalyptic number.

1729000000 is a gapful number since it is divisible by the number (10) 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 1729000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778089440).

1729000000 is an abundant number, since it is smaller than the sum of its proper divisors (3827178880).

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

1729000000 is an frugal number, since it uses more digits than its factorization.

1729000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 1729000000 is about 41581.2457725836. The cubic root of 1729000000 is about 1200.2314368428.

Adding to 1729000000 its reverse (9271), we get a palindrome (1729009271).

The spelling of 1729000000 in words is "one billion, seven hundred twenty-nine million", and thus it is an aban number.