1328579400 has 96 divisors (see below), whose sum is σ = 4251513600. Its totient is φ = 342854400.

The previous prime is 1328579377. The next prime is 1328579401. The reversal of 1328579400 is 49758231.

It is not an unprimeable number, because it can be changed into a prime (1328579401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17115 + ... + 54314.

It is an arithmetic number, because the mean of its divisors is an integer number (44286600).

Almost surely, 2^1328579400 is an apocalyptic number.

1328579400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328579400 is an abundant number, since it is smaller than the sum of its proper divisors (2922934200).

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

1328579400 is a wasteful number, since it uses less digits than its factorization.

1328579400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71479 (or 71470 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1328579400 is about 36449.6831261947. The cubic root of 1328579400 is about 1099.3327633944.

The spelling of 1328579400 in words is "one billion, three hundred twenty-eight million, five hundred seventy-nine thousand, four hundred".