28627358612112 has 960 divisors, whose sum is σ = 98537593190400. Its totient is φ = 7670485278720.

The previous prime is 28627358612087. The next prime is 28627358612123. The reversal of 28627358612112 is 21121685372682.

It is a happy number.

28627358612112 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 7 + 3 + 5 + 8 + 612 + 1 + 12 = 666.

It is a super-2 number, since 2×28627358612112² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2247215439 + ... + 2247228177.

It is an arithmetic number, because the mean of its divisors is an integer number (102643326240).

Almost surely, 2^{28627358612112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28627358612112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49268796595200).

28627358612112 is an abundant number, since it is smaller than the sum of its proper divisors (69910234578288).

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

28627358612112 is a wasteful number, since it uses less digits than its factorization.

28627358612112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916 (or 12907 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 28627358612112 in words is "twenty-eight trillion, six hundred twenty-seven billion, three hundred fifty-eight million, six hundred twelve thousand, one hundred twelve".