15728080 has 60 divisors (see below), whose sum is σ = 37782180. Its totient is φ = 6088192.

The previous prime is 15728059. The next prime is 15728087. The reversal of 15728080 is 8082751.

It can be written as a sum of positive squares in 2 ways, for example, as 4276624 + 11451456 = 2068^2 + 3384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15728087) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 176676 + ... + 176764.

It is an arithmetic number, because the mean of its divisors is an integer number (629703).

Almost surely, 2^15728080 is an apocalyptic number.

15728080 is a gapful number since it is divisible by the number (10) 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 15728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18891090).

15728080 is an abundant number, since it is smaller than the sum of its proper divisors (22054100).

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

15728080 is an equidigital number, since it uses as much as digits as its factorization.

15728080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 15728080 is about 3965.8643446290. The cubic root of 15728080 is about 250.5485554672.

The spelling of 15728080 in words is "fifteen million, seven hundred twenty-eight thousand, eighty".