1328888988180 has 288 divisors, whose sum is σ = 4417283838240. Its totient is φ = 321378140160.

The previous prime is 1328888988179. The next prime is 1328888988199. The reversal of 1328888988180 is 818898888231.

1328888988180 is a `hidden beast` number, since 1 + 3 + 288 + 88 + 98 + 8 + 180 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1036938963204 + 291950024976 = 1018302^2 + 540324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1328888988099 and 1328888988108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136026336 + ... + 136036104.

It is an arithmetic number, because the mean of its divisors is an integer number (15337791105).

Almost surely, 2^{1328888988180} is an apocalyptic number.

1328888988180 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 1328888988180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208641919120).

1328888988180 is an abundant number, since it is smaller than the sum of its proper divisors (3088394850060).

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

1328888988180 is a wasteful number, since it uses less digits than its factorization.

1328888988180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10811 (or 10806 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 72.

The spelling of 1328888988180 in words is "one trillion, three hundred twenty-eight billion, eight hundred eighty-eight million, nine hundred eighty-eight thousand, one hundred eighty".