1728338900 has 36 divisors (see below), whose sum is σ = 3785570208. Its totient is φ = 684870240.

The previous prime is 1728338873. The next prime is 1728338917. The reversal of 1728338900 is 98338271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70064 + ... + 91463.

It is an arithmetic number, because the mean of its divisors is an integer number (105154728).

Almost surely, 2^1728338900 is an apocalyptic number.

1728338900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728338900 is an abundant number, since it is smaller than the sum of its proper divisors (2057231308).

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

1728338900 is a wasteful number, since it uses less digits than its factorization.

1728338900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161648 (or 161641 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1728338900 is about 41573.2955152704. The cubic root of 1728338900 is about 1200.0784439461.

The spelling of 1728338900 in words is "one billion, seven hundred twenty-eight million, three hundred thirty-eight thousand, nine hundred".