28745966426112 has 1152 divisors, whose sum is σ = 98243197678080. Its totient is φ = 8013301678080.

The previous prime is 28745966426069. The next prime is 28745966426147. The reversal of 28745966426112 is 21162466954782.

28745966426112 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 5 + 9 + 6 + 6 + 4 + 2 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 28745966426112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29422687768 + ... + 29422688744.

It is an arithmetic number, because the mean of its divisors is an integer number (85280553540).

Almost surely, 2^{28745966426112} 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 28745966426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49121598839040).

28745966426112 is an abundant number, since it is smaller than the sum of its proper divisors (69497231251968).

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

28745966426112 is a wasteful number, since it uses less digits than its factorization.

28745966426112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1276 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 28745966426112 in words is "twenty-eight trillion, seven hundred forty-five billion, nine hundred sixty-six million, four hundred twenty-six thousand, one hundred twelve".