1328048517760 has 48 divisors (see below), whose sum is σ = 3174935685390. Its totient is φ = 531207745536.

The previous prime is 1328048517739. The next prime is 1328048517781. The reversal of 1328048517760 is 677158408231.

It is an interprime number because it is at equal distance from previous prime (1328048517739) and next prime (1328048517781).

It can be written as a sum of positive squares in 3 ways, for example, as 1289823575616 + 38224942144 = 1135704^2 + 195512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1328048517698 and 1328048517707.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29131144 + ... + 29176696.

Almost surely, 2^{1328048517760} is an apocalyptic number.

1328048517760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328048517760 is an abundant number, since it is smaller than the sum of its proper divisors (1846887167630).

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

1328048517760 is an frugal number, since it uses more digits than its factorization.

1328048517760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91125 (or 45560 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 1328048517760 in words is "one trillion, three hundred twenty-eight billion, forty-eight million, five hundred seventeen thousand, seven hundred sixty".