28311427600 has 135 divisors (see below), whose sum is σ = 69886607917. Its totient is φ = 11021703040.

The previous prime is 28311427597. The next prime is 28311427621. The reversal of 28311427600 is 672411382.

The square root of 28311427600 is 168260.

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

It can be written as a sum of positive squares in only one way, i.e., 10192113936 + 18119313664 = 100956^2 + 134608^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 158164311 + ... + 158164489.

Almost surely, 2^28311427600 is an apocalyptic number.

28311427600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28311427600 is the 168260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28311427600

28311427600 is an abundant number, since it is smaller than the sum of its proper divisors (41575180317).

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

28311427600 is an equidigital number, since it uses as much as digits as its factorization.

28311427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 28311427600 its reverse (672411382), we get a palindrome (28983838982).

The spelling of 28311427600 in words is "twenty-eight billion, three hundred eleven million, four hundred twenty-seven thousand, six hundred".