28184164382070 has 192 divisors, whose sum is σ = 76782475321344. Its totient is φ = 7164004538880.

The previous prime is 28184164382063. The next prime is 28184164382089. The reversal of 28184164382070 is 7028346148182.

28184164382070 is a `hidden beast` number, since 2 + 8 + 18 + 416 + 4 + 3 + 8 + 207 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28184164381998 and 28184164382016.

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, 151233687 + ... + 151419933.

It is an arithmetic number, because the mean of its divisors is an integer number (399908725632).

Almost surely, 2^{28184164382070} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28184164382070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38391237660672).

28184164382070 is an abundant number, since it is smaller than the sum of its proper divisors (48598310939274).

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

28184164382070 is a wasteful number, since it uses less digits than its factorization.

28184164382070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187107 (or 187104 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 28184164382070 in words is "twenty-eight trillion, one hundred eighty-four billion, one hundred sixty-four million, three hundred eighty-two thousand, seventy".