28087203029760 has 1440 divisors, whose sum is σ = 117122357721600. Its totient is φ = 6294003056640.

The previous prime is 28087203029759. The next prime is 28087203029797. The reversal of 28087203029760 is 6792030278082.

28087203029760 is a `hidden beast` number, since 280 + 8 + 72 + 0 + 3 + 0 + 297 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 28087203029697 and 28087203029706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22309136011 + ... + 22309137269.

It is an arithmetic number, because the mean of its divisors is an integer number (81334970640).

Almost surely, 2^{28087203029760} is an apocalyptic number.

28087203029760 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 28087203029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58561178860800).

28087203029760 is an abundant number, since it is smaller than the sum of its proper divisors (89035154691840).

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

28087203029760 is a wasteful number, since it uses less digits than its factorization.

28087203029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 28087203029760 in words is "twenty-eight trillion, eighty-seven billion, two hundred three million, twenty-nine thousand, seven hundred sixty".