1328002000 has 120 divisors (see below), whose sum is σ = 3478002840. Its totient is φ = 490214400.

The previous prime is 1328001923. The next prime is 1328002001. The reversal of 1328002000 is 2008231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1327582096 + 419904 = 36436^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336036 + ... + 339964.

It is an arithmetic number, because the mean of its divisors is an integer number (28983357).

Almost surely, 2^1328002000 is an apocalyptic number.

1328002000 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 1328002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739001420).

1328002000 is an abundant number, since it is smaller than the sum of its proper divisors (2150000840).

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

1328002000 is a wasteful number, since it uses less digits than its factorization.

1328002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1328002000 is about 36441.7617576319. The cubic root of 1328002000 is about 1099.1734838124.

The spelling of 1328002000 in words is "one billion, three hundred twenty-eight million, two thousand".