28214210213240 has 128 divisors (see below), whose sum is σ = 67414146462720. Its totient is φ = 10605077683200.

The previous prime is 28214210213183. The next prime is 28214210213327. The reversal of 28214210213240 is 4231201241282.

It is a junction number, because it is equal to n+sod(n) for n = 28214210213197 and 28214210213206.

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 31 ways as a sum of consecutive naturals, for example, 17586347 + ... + 19123493.

It is an arithmetic number, because the mean of its divisors is an integer number (526673019240).

Almost surely, 2^{28214210213240} is an apocalyptic number.

28214210213240 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 28214210213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33707073231360).

28214210213240 is an abundant number, since it is smaller than the sum of its proper divisors (39199936249480).

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

28214210213240 is a wasteful number, since it uses less digits than its factorization.

28214210213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537533 (or 1537529 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 28214210213240 in words is "twenty-eight trillion, two hundred fourteen billion, two hundred ten million, two hundred thirteen thousand, two hundred forty".