28286081280 has 720 divisors, whose sum is σ = 108446627520. Its totient is φ = 7019053056.

The previous prime is 28286081279. The next prime is 28286081287. The reversal of 28286081280 is 8218068282.

28286081280 is a `hidden beast` number, since 2 + 8 + 28 + 608 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28286081287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163503274 + ... + 163503446.

It is an arithmetic number, because the mean of its divisors is an integer number (150620316).

Almost surely, 2^28286081280 is an apocalyptic number.

28286081280 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 28286081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54223313760).

28286081280 is an abundant number, since it is smaller than the sum of its proper divisors (80160546240).

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

28286081280 is a wasteful number, since it uses less digits than its factorization.

28286081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 28286081280 in words is "twenty-eight billion, two hundred eighty-six million, eighty-one thousand, two hundred eighty".