28181716992 has 672 divisors, whose sum is σ = 100056878880. Its totient is φ = 7882997760.

The previous prime is 28181716967. The next prime is 28181716993. The reversal of 28181716992 is 29961718182.

It is a happy number.

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28181716993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167824378 + ... + 2167824390.

It is an arithmetic number, because the mean of its divisors is an integer number (148894165).

Almost surely, 2^28181716992 is an apocalyptic number.

28181716992 is a gapful number since it is divisible by the number (22) 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 28181716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50028439440).

28181716992 is an abundant number, since it is smaller than the sum of its proper divisors (71875161888).

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

28181716992 is an frugal number, since it uses more digits than its factorization.

28181716992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 29 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 28181716992 in words is "twenty-eight billion, one hundred eighty-one million, seven hundred sixteen thousand, nine hundred ninety-two".