15728048 has 60 divisors (see below), whose sum is σ = 36850320. Its totient is φ = 6369408.

The previous prime is 15728047. The next prime is 15728059. The reversal of 15728048 is 84082751.

It is a junction number, because it is equal to n+sod(n) for n = 15727999 and 15728017.

It is not an unprimeable number, because it can be changed into a prime (15728047) 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, 40238 + ... + 40626.

It is an arithmetic number, because the mean of its divisors is an integer number (614172).

Almost surely, 2^15728048 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 15728048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425160).

15728048 is an abundant number, since it is smaller than the sum of its proper divisors (21122272).

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

15728048 is a wasteful number, since it uses less digits than its factorization.

15728048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 15728048 is about 3965.8603101975. The cubic root of 15728048 is about 250.5483855470.

The spelling of 15728048 in words is "fifteen million, seven hundred twenty-eight thousand, forty-eight".