1328712960 has 144 divisors (see below), whose sum is σ = 4264928640. Its totient is φ = 352542720.

The previous prime is 1328712941. The next prime is 1328712961. The reversal of 1328712960 is 692178231.

It is a super-3 number, since 3×1328712960³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328712961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878605 + ... + 880115.

It is an arithmetic number, because the mean of its divisors is an integer number (29617560).

Almost surely, 2^1328712960 is an apocalyptic number.

1328712960 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 1328712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132464320).

1328712960 is an abundant number, since it is smaller than the sum of its proper divisors (2936215680).

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

1328712960 is a wasteful number, since it uses less digits than its factorization.

1328712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1328712960 is about 36451.5151948448. The cubic root of 1328712960 is about 1099.3696002253.

The spelling of 1328712960 in words is "one billion, three hundred twenty-eight million, seven hundred twelve thousand, nine hundred sixty".