28281002087520 has 4608 divisors, whose sum is σ = 137524018544640. Its totient is φ = 5321023488000.

The previous prime is 28281002087483. The next prime is 28281002087531. The reversal of 28281002087520 is 2578020018282.

28281002087520 is a `hidden beast` number, since 2 + 8 + 28 + 1 + 0 + 0 + 20 + 87 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 85441093755 + ... + 85441094085.

It is an arithmetic number, because the mean of its divisors is an integer number (29844622080).

Almost surely, 2^{28281002087520} is an apocalyptic number.

28281002087520 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 28281002087520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68762009272320).

28281002087520 is an abundant number, since it is smaller than the sum of its proper divisors (109243016457120).

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

28281002087520 is a wasteful number, since it uses less digits than its factorization.

28281002087520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 28281002087520 in words is "twenty-eight trillion, two hundred eighty-one billion, two million, eighty-seven thousand, five hundred twenty".