28181824417440 has 864 divisors, whose sum is σ = 104506635856896. Its totient is φ = 7172497797120.

The previous prime is 28181824417427. The next prime is 28181824417447. The reversal of 28181824417440 is 4471442818182.

28181824417440 is a `hidden beast` number, since 2 + 8 + 1 + 8 + 182 + 4 + 4 + 17 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (28181824417447) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2375600949 + ... + 2375612811.

It is an arithmetic number, because the mean of its divisors is an integer number (120956754464).

Almost surely, 2^{28181824417440} is an apocalyptic number.

28181824417440 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 28181824417440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52253317928448).

28181824417440 is an abundant number, since it is smaller than the sum of its proper divisors (76324811439456).

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

28181824417440 is an equidigital number, since it uses as much as digits as its factorization.

28181824417440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12006 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 28181824417440 in words is "twenty-eight trillion, one hundred eighty-one billion, eight hundred twenty-four million, four hundred seventeen thousand, four hundred forty".