28164211344 has 240 divisors, whose sum is σ = 84624583680. Its totient is φ = 8722391040.

The previous prime is 28164211331. The next prime is 28164211351. The reversal of 28164211344 is 44311246182.

28164211344 is a `hidden beast` number, since 2 + 8 + 1 + 642 + 1 + 1 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28164211299 and 28164211308.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 58797697 + ... + 58798175.

It is an arithmetic number, because the mean of its divisors is an integer number (352602432).

Almost surely, 2^28164211344 is an apocalyptic number.

28164211344 is a gapful number since it is divisible by the number (24) 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 28164211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42312291840).

28164211344 is an abundant number, since it is smaller than the sum of its proper divisors (56460372336).

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

28164211344 is a wasteful number, since it uses less digits than its factorization.

28164211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 981 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 28164211344 in words is "twenty-eight billion, one hundred sixty-four million, two hundred eleven thousand, three hundred forty-four".