80509728 has 96 divisors (see below), whose sum is σ = 235049472. Its totient is φ = 23961600.

The previous prime is 80509721. The next prime is 80509777. The reversal of 80509728 is 82790508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (80509721) 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, 37648 + ... + 39728.

It is an arithmetic number, because the mean of its divisors is an integer number (2448432).

Almost surely, 2^80509728 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 80509728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117524736).

80509728 is an abundant number, since it is smaller than the sum of its proper divisors (154539744).

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

80509728 is a wasteful number, since it uses less digits than its factorization.

80509728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 80509728 is about 8972.7213263313. The cubic root of 80509728 is about 431.8001476132.

The spelling of 80509728 in words is "eighty million, five hundred nine thousand, seven hundred twenty-eight".