28090000000000 has 363 divisors, whose sum is σ = 71540049804391. Its totient is φ = 11024000000000.

The previous prime is 28089999999983. The next prime is 28090000000003. The reversal of 28090000000000 is 9082.

The square root of 28090000000000 is 5300000.

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

It can be written as a sum of positive squares in 16 ways, for example, as 6005714830336 + 22084285169664 = 2450656^2 + 4699392^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 28089999999896 and 28089999999905.

It is not an unprimeable number, because it can be changed into a prime (28090000000003) 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 32 ways as a sum of consecutive naturals, for example, 529999999974 + ... + 530000000026.

Almost surely, 2^{28090000000000} is an apocalyptic number.

28090000000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28090000000000 is the 5300000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28090000000000

28090000000000 is an abundant number, since it is smaller than the sum of its proper divisors (43450049804391).

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

28090000000000 is an frugal number, since it uses more digits than its factorization.

28090000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 28090000000000 its reverse (9082), we get a palindrome (28090000009082).

The spelling of 28090000000000 in words is "twenty-eight trillion, ninety billion", and thus it is an aban number and an uban number.