1728452800 has 84 divisors (see below), whose sum is σ = 4476998920. Its totient is φ = 654981120.

The previous prime is 1728452779. The next prime is 1728452807. The reversal of 1728452800 is 82548271.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1728452800.

It is not an unprimeable number, because it can be changed into a prime (1728452807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1972 + ... + 58828.

Almost surely, 2^1728452800 is an apocalyptic number.

1728452800 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 1728452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238499460).

1728452800 is an abundant number, since it is smaller than the sum of its proper divisors (2748546120).

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

1728452800 is a wasteful number, since it uses less digits than its factorization.

1728452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56898 (or 56883 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 1728452800 is about 41574.6653624536. The cubic root of 1728452800 is about 1200.1048056610.

The spelling of 1728452800 in words is "one billion, seven hundred twenty-eight million, four hundred fifty-two thousand, eight hundred".