1728604800 has 768 divisors, whose sum is σ = 7259952000. Its totient is φ = 403107840.

The previous prime is 1728604777. The next prime is 1728604807. The reversal of 1728604800 is 84068271.

1728604800 is a `hidden beast` number, since 172 + 8 + 6 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728604807) 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 95 ways as a sum of consecutive naturals, for example, 90979191 + ... + 90979209.

Almost surely, 2^1728604800 is an apocalyptic number.

1728604800 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 1728604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629976000).

1728604800 is an abundant number, since it is smaller than the sum of its proper divisors (5531347200).

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

1728604800 is an equidigital number, since it uses as much as digits as its factorization.

1728604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1728604800 is about 41576.4933586275. The cubic root of 1728604800 is about 1200.1399836698.

The spelling of 1728604800 in words is "one billion, seven hundred twenty-eight million, six hundred four thousand, eight hundred".