28186142745600 has 4224 divisors, whose sum is σ = 133900321259520. Its totient is φ = 5658629898240.

The previous prime is 28186142745599. The next prime is 28186142745689. The reversal of 28186142745600 is 654724168182.

28186142745600 is a `hidden beast` number, since 2 + 8 + 1 + 8 + 6 + 1 + 4 + 2 + 74 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88915276642 + ... + 88915276958.

Almost surely, 2^{28186142745600} is an apocalyptic number.

28186142745600 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 28186142745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66950160629760).

28186142745600 is an abundant number, since it is smaller than the sum of its proper divisors (105714178513920).

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

28186142745600 is a wasteful number, since it uses less digits than its factorization.

28186142745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 28186142745600 in words is "twenty-eight trillion, one hundred eighty-six billion, one hundred forty-two million, seven hundred forty-five thousand, six hundred".