28284838525776 has 240 divisors, whose sum is σ = 88768894427136. Its totient is φ = 7600853194752.

The previous prime is 28284838525753. The next prime is 28284838525807. The reversal of 28284838525776 is 67752583848282.

It is a junction number, because it is equal to n+sod(n) for n = 28284838525698 and 28284838525707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144295705 + ... + 144491591.

Almost surely, 2^{28284838525776} 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 28284838525776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44384447213568).

28284838525776 is an abundant number, since it is smaller than the sum of its proper divisors (60484055901360).

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

28284838525776 is a wasteful number, since it uses less digits than its factorization.

28284838525776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197426 (or 197403 counting only the distinct ones).

The product of its digits is 2890137600, while the sum is 75.

The spelling of 28284838525776 in words is "twenty-eight trillion, two hundred eighty-four billion, eight hundred thirty-eight million, five hundred twenty-five thousand, seven hundred seventy-six".