28319155270560 has 2304 divisors, whose sum is σ = 130872684773376. Its totient is φ = 5404631040000.

The previous prime is 28319155270481. The next prime is 28319155270607. The reversal of 28319155270560 is 6507255191382.

28319155270560 is a `hidden beast` number, since 2 + 8 + 3 + 1 + 9 + 1 + 5 + 5 + 2 + 70 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28319155270497 and 28319155270506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5214351045 + ... + 5214356475.

It is an arithmetic number, because the mean of its divisors is an integer number (56802380544).

Almost surely, 2^{28319155270560} is an apocalyptic number.

28319155270560 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 28319155270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65436342386688).

28319155270560 is an abundant number, since it is smaller than the sum of its proper divisors (102553529502816).

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

28319155270560 is a wasteful number, since it uses less digits than its factorization.

28319155270560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 28319155270560 in words is "twenty-eight trillion, three hundred nineteen billion, one hundred fifty-five million, two hundred seventy thousand, five hundred sixty".