28280071680 has 240 divisors, whose sum is σ = 105169719600. Its totient is φ = 6463930368.

The previous prime is 28280071663. The next prime is 28280071759. The reversal of 28280071680 is 8617008282.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338746 + ... + 413894.

It is an arithmetic number, because the mean of its divisors is an integer number (438207165).

Almost surely, 2^28280071680 is an apocalyptic number.

28280071680 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 28280071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52584859800).

28280071680 is an abundant number, since it is smaller than the sum of its proper divisors (76889647920).

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

28280071680 is an equidigital number, since it uses as much as digits as its factorization.

28280071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75189 (or 75166 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 28280071680 in words is "twenty-eight billion, two hundred eighty million, seventy-one thousand, six hundred eighty".