28186213440 has 448 divisors, whose sum is σ = 112752396288. Its totient is φ = 5795020800.

The previous prime is 28186213411. The next prime is 28186213463. The reversal of 28186213440 is 4431268182.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7168275 + ... + 7172205.

It is an arithmetic number, because the mean of its divisors is an integer number (251679456).

Almost surely, 2^28186213440 is an apocalyptic number.

28186213440 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 28186213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56376198144).

28186213440 is an abundant number, since it is smaller than the sum of its proper divisors (84566182848).

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

28186213440 is a wasteful number, since it uses less digits than its factorization.

28186213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 28186213440 in words is "twenty-eight billion, one hundred eighty-six million, two hundred thirteen thousand, four hundred forty".