28085379840 has 432 divisors, whose sum is σ = 114067856448. Its totient is φ = 6245351424.

The previous prime is 28085379827. The next prime is 28085379859. The reversal of 28085379840 is 4897358082.

It is a happy number.

28085379840 is a `hidden beast` number, since 28 + 0 + 8 + 537 + 9 + 84 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2978974 + ... + 2988386.

It is an arithmetic number, because the mean of its divisors is an integer number (264045964).

Almost surely, 2^28085379840 is an apocalyptic number.

28085379840 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 28085379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57033928224).

28085379840 is an abundant number, since it is smaller than the sum of its proper divisors (85982476608).

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

28085379840 is a wasteful number, since it uses less digits than its factorization.

28085379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9484 (or 9467 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 28085379840 in words is "twenty-eight billion, eighty-five million, three hundred seventy-nine thousand, eight hundred forty".