1328432275800 has 1152 divisors, whose sum is σ = 5605330521600. Its totient is φ = 283172060160.

The previous prime is 1328432275763. The next prime is 1328432275811. The reversal of 1328432275800 is 85722348231.

1328432275800 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 43 + 2 + 27 + 580 + 0 = 666.

It is a super-2 number, since 2×1328432275800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 914267874 + ... + 914269326.

It is an arithmetic number, because the mean of its divisors is an integer number (4865738300).

Almost surely, 2^{1328432275800} is an apocalyptic number.

1328432275800 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 1328432275800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802665260800).

1328432275800 is an abundant number, since it is smaller than the sum of its proper divisors (4276898245800).

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

1328432275800 is a wasteful number, since it uses less digits than its factorization.

1328432275800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1328432275800 in words is "one trillion, three hundred twenty-eight billion, four hundred thirty-two million, two hundred seventy-five thousand, eight hundred".