1328075829900 has 180 divisors, whose sum is σ = 4307303308000. Its totient is φ = 353972073600.

The previous prime is 1328075829827. The next prime is 1328075829923. The reversal of 1328075829900 is 99285708231.

1328075829900 is a `hidden beast` number, since 1 + 3 + 280 + 75 + 8 + 299 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16150890 + ... + 16232910.

Almost surely, 2^{1328075829900} is an apocalyptic number.

1328075829900 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 1328075829900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153651654000).

1328075829900 is an abundant number, since it is smaller than the sum of its proper divisors (2979227478100).

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

1328075829900 is a wasteful number, since it uses less digits than its factorization.

1328075829900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84046 (or 84030 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1328075829900 in words is "one trillion, three hundred twenty-eight billion, seventy-five million, eight hundred twenty-nine thousand, nine hundred".