1328828125 has 32 divisors (see below), whose sum is σ = 1691011296. Its totient is φ = 1044000000.

The previous prime is 1328827991. The next prime is 1328828129. The reversal of 1328828125 is 5218288231.

It can be written as a sum of positive squares in 16 ways, for example, as 370678009 + 958150116 = 19253^2 + 30954^2 .

It is not a de Polignac number, because 1328828125 - 2⁹ = 1328827613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328828129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5703009 + ... + 5703241.

It is an arithmetic number, because the mean of its divisors is an integer number (52844103).

Almost surely, 2^1328828125 is an apocalyptic number.

It is an amenable number.

1328828125 is a deficient number, since it is larger than the sum of its proper divisors (362183171).

1328828125 is an frugal number, since it uses more digits than its factorization.

1328828125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 311 counting only the distinct ones).

The product of its digits is 61440, while the sum is 40.

The square root of 1328828125 is about 36453.0948617535. The cubic root of 1328828125 is about 1099.4013615979.

The spelling of 1328828125 in words is "one billion, three hundred twenty-eight million, eight hundred twenty-eight thousand, one hundred twenty-five".