1829809728000 has 960 divisors, whose sum is σ = 6764866377984. Its totient is φ = 475238400000.

The previous prime is 1829809727981. The next prime is 1829809728037. The reversal of 1829809728000 is 8279089281.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×1829809728000⁴ (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4130495779 + ... + 4130496221.

Almost surely, 2^{1829809728000} is an apocalyptic number.

1829809728000 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 1829809728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382433188992).

1829809728000 is an abundant number, since it is smaller than the sum of its proper divisors (4935056649984).

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

1829809728000 is a wasteful number, since it uses less digits than its factorization.

1829809728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1829809728000 in words is "one trillion, eight hundred twenty-nine billion, eight hundred nine million, seven hundred twenty-eight thousand".