1728360000 has 210 divisors, whose sum is σ = 6191847662. Its totient is φ = 460800000.

The previous prime is 1728359989. The next prime is 1728360037. The reversal of 1728360000 is 638271.

It can be written as a sum of positive squares in 5 ways, for example, as 612265536 + 1116094464 = 24744^2 + 33408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 357600 + ... + 362400.

Almost surely, 2^1728360000 is an apocalyptic number.

1728360000 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 1728360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095923831).

1728360000 is an abundant number, since it is smaller than the sum of its proper divisors (4463487662).

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

1728360000 is an equidigital number, since it uses as much as digits as its factorization.

1728360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1728360000 is about 41573.5492831680. The cubic root of 1728360000 is about 1200.0833275470.

Adding to 1728360000 its reverse (638271), we get a palindrome (1728998271).

The spelling of 1728360000 in words is "one billion, seven hundred twenty-eight million, three hundred sixty thousand".