28013091347520 has 2240 divisors, whose sum is σ = 108776526566400. Its totient is φ = 6830402568192.

The previous prime is 28013091347491. The next prime is 28013091347569. The reversal of 28013091347520 is 2574319031082.

It is a happy number.

28013091347520 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 3 + 0 + 91 + 34 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 188007324406 + ... + 188007324554.

It is an arithmetic number, because the mean of its divisors is an integer number (48560949360).

Almost surely, 2^{28013091347520} is an apocalyptic number.

28013091347520 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 28013091347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54388263283200).

28013091347520 is an abundant number, since it is smaller than the sum of its proper divisors (80763435218880).

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

28013091347520 is a wasteful number, since it uses less digits than its factorization.

28013091347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28013091347520 in words is "twenty-eight trillion, thirteen billion, ninety-one million, three hundred forty-seven thousand, five hundred twenty".