28130336870416 has 135 divisors (see below), whose sum is σ = 60387144888343. Its totient is φ = 12685001950720.

The previous prime is 28130336870359. The next prime is 28130336870417. The reversal of 28130336870416 is 61407863303182.

The square root of 28130336870416 is 5303804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 466732816 + 28129870137600 = 21604^2 + 5303760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28130336870417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34771738620 + ... + 34771739428.

Almost surely, 2^{28130336870416} is an apocalyptic number.

28130336870416 is the 5303804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28130336870416

28130336870416 is an abundant number, since it is smaller than the sum of its proper divisors (32256808017927).

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

28130336870416 is an frugal number, since it uses more digits than its factorization.

28130336870416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 28130336870416 in words is "twenty-eight trillion, one hundred thirty billion, three hundred thirty-six million, eight hundred seventy thousand, four hundred sixteen".