28115828619648 has 1024 divisors, whose sum is σ = 102586279680000. Its totient is φ = 6597275811840.

The previous prime is 28115828619589. The next prime is 28115828619701. The reversal of 28115828619648 is 84691682851182.

It is a super-2 number, since 2×28115828619648² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2521819578 + ... + 2521830726.

It is an arithmetic number, because the mean of its divisors is an integer number (100181913750).

Almost surely, 2^{28115828619648} is an apocalyptic number.

28115828619648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28115828619648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51293139840000).

28115828619648 is an abundant number, since it is smaller than the sum of its proper divisors (74470451060352).

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

28115828619648 is a wasteful number, since it uses less digits than its factorization.

28115828619648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11403 (or 11391 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 69.

The spelling of 28115828619648 in words is "twenty-eight trillion, one hundred fifteen billion, eight hundred twenty-eight million, six hundred nineteen thousand, six hundred forty-eight".