28171311871800 has 192 divisors, whose sum is σ = 91134836640000. Its totient is φ = 7185192340480.

The previous prime is 28171311871793. The next prime is 28171311871811. The reversal of 28171311871800 is 817811317182.

It is a self number, because there is not a number n which added to its sum of digits gives 28171311871800.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 206089876 + ... + 206226524.

It is an arithmetic number, because the mean of its divisors is an integer number (474660607500).

Almost surely, 2^{28171311871800} is an apocalyptic number.

28171311871800 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 28171311871800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45567418320000).

28171311871800 is an abundant number, since it is smaller than the sum of its proper divisors (62963524768200).

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

28171311871800 is a wasteful number, since it uses less digits than its factorization.

28171311871800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151630 (or 151621 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 48.

The spelling of 28171311871800 in words is "twenty-eight trillion, one hundred seventy-one billion, three hundred eleven million, eight hundred seventy-one thousand, eight hundred".