28282020111000 has 384 divisors, whose sum is σ = 96359302166400. Its totient is φ = 7481511014400.

The previous prime is 28282020110989. The next prime is 28282020111043. The reversal of 28282020111000 is 11102028282.

28282020111000 is a `hidden beast` number, since 282 + 82 + 0 + 201 + 1 + 100 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1922239644 + ... + 1922254356.

It is an arithmetic number, because the mean of its divisors is an integer number (250935682725).

Almost surely, 2^{28282020111000} is an apocalyptic number.

28282020111000 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 28282020111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48179651083200).

28282020111000 is an abundant number, since it is smaller than the sum of its proper divisors (68077282055400).

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

28282020111000 is a wasteful number, since it uses less digits than its factorization.

28282020111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16436 (or 16419 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 28282020111000 its reverse (11102028282), we get a palindrome (28293122139282).

The spelling of 28282020111000 in words is "twenty-eight trillion, two hundred eighty-two billion, twenty million, one hundred eleven thousand".