28889445312 has 896 divisors, whose sum is σ = 112817940480. Its totient is φ = 7033651200.

The previous prime is 28889445287. The next prime is 28889445313. The reversal of 28889445312 is 21354498882.

28889445312 is a `hidden beast` number, since 28 + 8 + 89 + 4 + 4 + 531 + 2 = 666.

It is a super-3 number, since 3×28889445312³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28889445313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 269994763 + ... + 269994869.

It is an arithmetic number, because the mean of its divisors is an integer number (125912880).

Almost surely, 2^28889445312 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 28889445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56408970240).

28889445312 is an abundant number, since it is smaller than the sum of its proper divisors (83928495168).

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

28889445312 is a wasteful number, since it uses less digits than its factorization.

28889445312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 28889445312 in words is "twenty-eight billion, eight hundred eighty-nine million, four hundred forty-five thousand, three hundred twelve".