80227728 has 240 divisors, whose sum is σ = 278553600. Its totient is φ = 21047040.

The previous prime is 80227691. The next prime is 80227751. The reversal of 80227728 is 82772208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80227692 and 80227701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129933 + ... + 1130003.

It is an arithmetic number, because the mean of its divisors is an integer number (1160640).

Almost surely, 2^80227728 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 80227728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

80227728 is an abundant number, since it is smaller than the sum of its proper divisors (198325872).

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

80227728 is a wasteful number, since it uses less digits than its factorization.

80227728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 80227728 is about 8956.9932455038. The cubic root of 80227728 is about 431.2954049231.

The spelling of 80227728 in words is "eighty million, two hundred twenty-seven thousand, seven hundred twenty-eight".