28205260182000 has 640 divisors, whose sum is σ = 116023981132800. Its totient is φ = 6477760512000.

The previous prime is 28205260181963. The next prime is 28205260182037. The reversal of 28205260182000 is 28106250282.

28205260182000 is a `hidden beast` number, since 2 + 8 + 20 + 5 + 2 + 601 + 8 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28205260181963) and next prime (28205260182037).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10036432 + ... + 12535568.

It is an arithmetic number, because the mean of its divisors is an integer number (181287470520).

Almost surely, 2^{28205260182000} is an apocalyptic number.

28205260182000 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 28205260182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58011990566400).

28205260182000 is an abundant number, since it is smaller than the sum of its proper divisors (87818720950800).

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

28205260182000 is a wasteful number, since it uses less digits than its factorization.

28205260182000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499199 (or 2499177 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 28205260182000 in words is "twenty-eight trillion, two hundred five billion, two hundred sixty million, one hundred eighty-two thousand".