1328428314585 has 96 divisors (see below), whose sum is σ = 2461326716160. Its totient is φ = 660846034944.

The previous prime is 1328428314581. The next prime is 1328428314601. The reversal of 1328428314585 is 5854138248231.

It is a happy number.

1328428314585 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 4 + 28 + 31 + 4 + 585 = 666.

It is not a de Polignac number, because 1328428314585 - 2² = 1328428314581 is a prime.

It is a super-2 number, since 2×1328428314585² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1328428314581) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35995012 + ... + 36031898.

It is an arithmetic number, because the mean of its divisors is an integer number (25638819960).

Almost surely, 2^{1328428314585} is an apocalyptic number.

1328428314585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1328428314585 is a deficient number, since it is larger than the sum of its proper divisors (1132898401575).

1328428314585 is a wasteful number, since it uses less digits than its factorization.

1328428314585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37567 (or 37564 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 1328428314585 in words is "one trillion, three hundred twenty-eight billion, four hundred twenty-eight million, three hundred fourteen thousand, five hundred eighty-five".