28136182800 has 480 divisors, whose sum is σ = 105038991360. Its totient is φ = 6370560000.

The previous prime is 28136182777. The next prime is 28136182847. The reversal of 28136182800 is 828163182.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11865615 + ... + 11867985.

It is an arithmetic number, because the mean of its divisors is an integer number (218831232).

Almost surely, 2^28136182800 is an apocalyptic number.

28136182800 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 28136182800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52519495680).

28136182800 is an abundant number, since it is smaller than the sum of its proper divisors (76902808560).

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

28136182800 is a wasteful number, since it uses less digits than its factorization.

28136182800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 28136182800 in words is "twenty-eight billion, one hundred thirty-six million, one hundred eighty-two thousand, eight hundred".