28456939598976 has 1536 divisors, whose sum is σ = 106471314432000. Its totient is φ = 7305030696960.

The previous prime is 28456939598953. The next prime is 28456939599061. The reversal of 28456939598976 is 67989593965482.

28456939598976 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 6 + 9 + 3 + 9 + 598 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×28456939598976² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25799582041 + ... + 25799583143.

It is an arithmetic number, because the mean of its divisors is an integer number (69317262000).

Almost surely, 2^{28456939598976} 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 28456939598976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53235657216000).

28456939598976 is an abundant number, since it is smaller than the sum of its proper divisors (78014374833024).

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

28456939598976 is a wasteful number, since it uses less digits than its factorization.

28456939598976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1212 counting only the distinct ones).

The product of its digits is 63489484800, while the sum is 90.

The spelling of 28456939598976 in words is "twenty-eight trillion, four hundred fifty-six billion, nine hundred thirty-nine million, five hundred ninety-eight thousand, nine hundred seventy-six".