28166983488 has 336 divisors, whose sum is σ = 98895164160. Its totient is φ = 7488847872.

The previous prime is 28166983483. The next prime is 28166983553. The reversal of 28166983488 is 88438966182.

28166983488 is a `hidden beast` number, since 2 + 8 + 1 + 66 + 98 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×28166983488² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28166983483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3427128 + ... + 3435336.

Almost surely, 2^28166983488 is an apocalyptic number.

28166983488 is a gapful number since it is divisible by the number (28) 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 28166983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49447582080).

28166983488 is an abundant number, since it is smaller than the sum of its proper divisors (70728180672).

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

28166983488 is a wasteful number, since it uses less digits than its factorization.

28166983488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8281 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 28166983488 in words is "twenty-eight billion, one hundred sixty-six million, nine hundred eighty-three thousand, four hundred eighty-eight".