28328129733120 has 1280 divisors, whose sum is σ = 111189683404800. Its totient is φ = 6009029591040.

The previous prime is 28328129733107. The next prime is 28328129733157. The reversal of 28328129733120 is 2133792182382.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12111212911 + ... + 12111215249.

It is an arithmetic number, because the mean of its divisors is an integer number (86866940160).

Almost surely, 2^{28328129733120} is an apocalyptic number.

28328129733120 is a gapful number since it is divisible by the number (20) 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 28328129733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55594841702400).

28328129733120 is an abundant number, since it is smaller than the sum of its proper divisors (82861553671680).

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

28328129733120 is a wasteful number, since it uses less digits than its factorization.

28328129733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 28328129733120 in words is "twenty-eight trillion, three hundred twenty-eight billion, one hundred twenty-nine million, seven hundred thirty-three thousand, one hundred twenty".