28565384129280 has 432 divisors, whose sum is σ = 101486155811040. Its totient is φ = 7413856665600.

The previous prime is 28565384129267. The next prime is 28565384129291. The reversal of 28565384129280 is 8292148356582.

It is a happy number.

28565384129280 is a `hidden beast` number, since 2 + 8 + 5 + 6 + 53 + 8 + 412 + 92 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 197829910 + ... + 197974250.

It is an arithmetic number, because the mean of its divisors is an integer number (234921656970).

Almost surely, 2^{28565384129280} is an apocalyptic number.

28565384129280 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 28565384129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50743077905520).

28565384129280 is an abundant number, since it is smaller than the sum of its proper divisors (72920771681760).

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

28565384129280 is a wasteful number, since it uses less digits than its factorization.

28565384129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144828 (or 144811 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 28565384129280 in words is "twenty-eight trillion, five hundred sixty-five billion, three hundred eighty-four million, one hundred twenty-nine thousand, two hundred eighty".