1728283115520 has 1024 divisors, whose sum is σ = 6788251612800. Its totient is φ = 414481121280.

The previous prime is 1728283115497. The next prime is 1728283115521. The reversal of 1728283115520 is 255113828271.

1728283115520 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 2 + 8 + 3 + 115 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728283115521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2357821074 + ... + 2357821806.

Almost surely, 2^{1728283115520} is an apocalyptic number.

1728283115520 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 1728283115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394125806400).

1728283115520 is an abundant number, since it is smaller than the sum of its proper divisors (5059968497280).

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

1728283115520 is an equidigital number, since it uses as much as digits as its factorization.

1728283115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 1728283115520 in words is "one trillion, seven hundred twenty-eight billion, two hundred eighty-three million, one hundred fifteen thousand, five hundred twenty".