28115986415616 has 1152 divisors, whose sum is σ = 94317122027520. Its totient is φ = 8273060167680.

The previous prime is 28115986415477. The next prime is 28115986415651. The reversal of 28115986415616 is 61651468951182.

It is a happy number.

28115986415616 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 5 + 9 + 8 + 6 + 4 + 1 + 5 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221385719745 + ... + 221385719871.

It is an arithmetic number, because the mean of its divisors is an integer number (81872501760).

Almost surely, 2^{28115986415616} 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 28115986415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47158561013760).

28115986415616 is an abundant number, since it is smaller than the sum of its proper divisors (66201135611904).

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

28115986415616 is an frugal number, since it uses more digits than its factorization.

28115986415616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 190 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 63.

The spelling of 28115986415616 in words is "twenty-eight trillion, one hundred fifteen billion, nine hundred eighty-six million, four hundred fifteen thousand, six hundred sixteen".