1729728028 has 72 divisors (see below), whose sum is σ = 3633057792. Its totient is φ = 718101216.

The previous prime is 1729727999. The next prime is 1729728047. The reversal of 1729728028 is 8208279271.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947925 + ... + 949747.

It is an arithmetic number, because the mean of its divisors is an integer number (50459136).

Almost surely, 2^1729728028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1729728028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816528896).

1729728028 is an abundant number, since it is smaller than the sum of its proper divisors (1903329764).

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

1729728028 is a wasteful number, since it uses less digits than its factorization.

1729728028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 1729728028 is about 41589.9991344073. Note that the first 3 decimals coincide. The cubic root of 1729728028 is about 1200.3998732179.

The spelling of 1729728028 in words is "one billion, seven hundred twenty-nine million, seven hundred twenty-eight thousand, twenty-eight".