1728977944320 has 1800 divisors, whose sum is σ = 7313068944720. Its totient is φ = 388602593280.

The previous prime is 1728977944307. The next prime is 1728977944321. The reversal of 1728977944320 is 234497798271.

1728977944320 is a `hidden beast` number, since 1 + 7 + 28 + 97 + 7 + 94 + 432 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728977944321) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 25805640927 + ... + 25805640993.

Almost surely, 2^{1728977944320} is an apocalyptic number.

1728977944320 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 1728977944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656534472360).

1728977944320 is an abundant number, since it is smaller than the sum of its proper divisors (5584091000400).

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

1728977944320 is an frugal number, since it uses more digits than its factorization.

1728977944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 1728977944320 in words is "one trillion, seven hundred twenty-eight billion, nine hundred seventy-seven million, nine hundred forty-four thousand, three hundred twenty".