28015853892480 has 1024 divisors, whose sum is σ = 111024888192000. Its totient is φ = 6635095326720.

The previous prime is 28015853892443. The next prime is 28015853892491. The reversal of 28015853892480 is 8429835851082.

28015853892480 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 5 + 8 + 5 + 389 + 248 + 0 = 666.

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, 1434420315 + ... + 1434439845.

It is an arithmetic number, because the mean of its divisors is an integer number (108422742375).

Almost surely, 2^{28015853892480} is an apocalyptic number.

28015853892480 is a gapful number since it is divisible by the number (20) 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 28015853892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55512444096000).

28015853892480 is an abundant number, since it is smaller than the sum of its proper divisors (83009034299520).

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

28015853892480 is a wasteful number, since it uses less digits than its factorization.

28015853892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19852 (or 19834 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 28015853892480 in words is "twenty-eight trillion, fifteen billion, eight hundred fifty-three million, eight hundred ninety-two thousand, four hundred eighty".