80205728 has 48 divisors (see below), whose sum is σ = 170004744. Its totient is φ = 37109760.

The previous prime is 80205679. The next prime is 80205731. The reversal of 80205728 is 82750208.

It can be written as a sum of positive squares in 4 ways, for example, as 75829264 + 4376464 = 8708^2 + 2092^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 80205694 and 80205703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31976 + ... + 34392.

Almost surely, 2^80205728 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 80205728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85002372).

80205728 is an abundant number, since it is smaller than the sum of its proper divisors (89799016).

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

80205728 is a wasteful number, since it uses less digits than its factorization.

80205728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 80205728 is about 8955.7650706123. The cubic root of 80205728 is about 431.2559781290.

The spelling of 80205728 in words is "eighty million, two hundred five thousand, seven hundred twenty-eight".