28728823881408 has 168 divisors, whose sum is σ = 88463657791152. Its totient is φ = 8204345081856.

The previous prime is 28728823881403. The next prime is 28728823881467. The reversal of 28728823881408 is 80418832882782.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (28728823881403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19156516 + ... + 20601692.

It is an arithmetic number, because the mean of its divisors is an integer number (526569391614).

Almost surely, 2^{28728823881408} is an apocalyptic number.

28728823881408 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 28728823881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44231828895576).

28728823881408 is an abundant number, since it is smaller than the sum of its proper divisors (59734833909744).

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

28728823881408 is a wasteful number, since it uses less digits than its factorization.

28728823881408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447319 (or 1447302 counting only the distinct ones).

The product of its (nonzero) digits is 176160768, while the sum is 69.

The spelling of 28728823881408 in words is "twenty-eight trillion, seven hundred twenty-eight billion, eight hundred twenty-three million, eight hundred eighty-one thousand, four hundred eight".