80185728 has 128 divisors (see below), whose sum is σ = 254200320. Its totient is φ = 21897216.

The previous prime is 80185727. The next prime is 80185733. The reversal of 80185728 is 82758108.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80185723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61176 + ... + 62472.

It is an arithmetic number, because the mean of its divisors is an integer number (1985940).

Almost surely, 2^80185728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127100160).

80185728 is an abundant number, since it is smaller than the sum of its proper divisors (174014592).

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

80185728 is a wasteful number, since it uses less digits than its factorization.

80185728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 80185728 is about 8954.6484018079. The cubic root of 80185728 is about 431.2201293320.

The spelling of 80185728 in words is "eighty million, one hundred eighty-five thousand, seven hundred twenty-eight".