28068090347520 has 1728 divisors, whose sum is σ = 107725421905920. Its totient is φ = 6995897745408.

The previous prime is 28068090347477. The next prime is 28068090347527. The reversal of 28068090347520 is 2574309086082.

28068090347520 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 80 + 9 + 0 + 34 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28068090347527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289361756112 + ... + 289361756208.

It is an arithmetic number, because the mean of its divisors is an integer number (62341100640).

Almost surely, 2^{28068090347520} is an apocalyptic number.

28068090347520 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 28068090347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53862710952960).

28068090347520 is an abundant number, since it is smaller than the sum of its proper divisors (79657331558400).

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

28068090347520 is an frugal number, since it uses more digits than its factorization.

28068090347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28068090347520 in words is "twenty-eight trillion, sixty-eight billion, ninety million, three hundred forty-seven thousand, five hundred twenty".