1328872000 has 112 divisors (see below), whose sum is σ = 3368356992. Its totient is φ = 519052800.

The previous prime is 1328871949. The next prime is 1328872001. The reversal of 1328872000 is 2788231.

It is a super-3 number, since 3×1328872000³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1328872001) 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, 342069 + ... + 345931.

It is an arithmetic number, because the mean of its divisors is an integer number (30074616).

Almost surely, 2^1328872000 is an apocalyptic number.

1328872000 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 1328872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684178496).

1328872000 is an abundant number, since it is smaller than the sum of its proper divisors (2039484992).

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

1328872000 is an equidigital number, since it uses as much as digits as its factorization.

1328872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 1328872000 is about 36453.6966575408. The cubic root of 1328872000 is about 1099.4134614080.

The spelling of 1328872000 in words is "one billion, three hundred twenty-eight million, eight hundred seventy-two thousand".