28095123456 has 273 divisors, whose sum is σ = 85113917841. Its totient is φ = 9268494336.

The previous prime is 28095123451. The next prime is 28095123473. The reversal of 28095123456 is 65432159082.

The square root of 28095123456 is 167616.

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

28095123456 is a `hidden beast` number, since 2 + 80 + 9 + 512 + 3 + 4 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12615782400 + 15479341056 = 112320^2 + 124416^2 .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (28095123451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 289640400 + ... + 289640496.

Almost surely, 2^28095123456 is an apocalyptic number.

28095123456 is the 167616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28095123456

28095123456 is an abundant number, since it is smaller than the sum of its proper divisors (57018794385).

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

28095123456 is an frugal number, since it uses more digits than its factorization.

28095123456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 28095123456 in words is "twenty-eight billion, ninety-five million, one hundred twenty-three thousand, four hundred fifty-six".