1328125000 has 88 divisors (see below), whose sum is σ = 3295898370. Its totient is φ = 500000000.

The previous prime is 1328124937. The next prime is 1328125003. The reversal of 1328125000 is 5218231.

It can be written as a sum of positive squares in 11 ways, for example, as 443776356 + 884348644 = 21066^2 + 29738^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328125003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 78124992 + ... + 78125008.

Almost surely, 2^1328125000 is an apocalyptic number.

1328125000 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 1328125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647949185).

1328125000 is an abundant number, since it is smaller than the sum of its proper divisors (1967773370).

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

1328125000 is an frugal number, since it uses more digits than its factorization.

1328125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1328125000 is about 36443.4493427831. The cubic root of 1328125000 is about 1099.2074180395.

The spelling of 1328125000 in words is "one billion, three hundred twenty-eight million, one hundred twenty-five thousand".