28185507840 has 192 divisors, whose sum is σ = 103054049280. Its totient is φ = 6442352640.

The previous prime is 28185507767. The next prime is 28185507881. The reversal of 28185507840 is 4870558182.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28185507840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149505 + ... + 280575.

It is an arithmetic number, because the mean of its divisors is an integer number (536739840).

Almost surely, 2^28185507840 is an apocalyptic number.

28185507840 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 28185507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51527024640).

28185507840 is an abundant number, since it is smaller than the sum of its proper divisors (74868541440).

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

28185507840 is a wasteful number, since it uses less digits than its factorization.

28185507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131108 (or 131088 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 28185507840 in words is "twenty-eight billion, one hundred eighty-five million, five hundred seven thousand, eight hundred forty".