1728600016 has 80 divisors (see below), whose sum is σ = 4030867008. Its totient is φ = 707558400.

The previous prime is 1728599963. The next prime is 1728600017. The reversal of 1728600016 is 6100068271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728600017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84595 + ... + 103021.

Almost surely, 2^1728600016 is an apocalyptic number.

1728600016 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 1728600016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015433504).

1728600016 is an abundant number, since it is smaller than the sum of its proper divisors (2302266992).

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

1728600016 is a wasteful number, since it uses less digits than its factorization.

1728600016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18500 (or 18494 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 1728600016 is about 41576.4358260782. The cubic root of 1728600016 is about 1200.1388765197.

Adding to 1728600016 its reverse (6100068271), we get a palindrome (7828668287).

The spelling of 1728600016 in words is "one billion, seven hundred twenty-eight million, six hundred thousand, sixteen".