15728960 has 112 divisors (see below), whose sum is σ = 42672000. Its totient is φ = 5474304.

The previous prime is 15728939. The next prime is 15729001. The reversal of 15728960 is 6982751.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78941 + ... + 79139.

It is an arithmetic number, because the mean of its divisors is an integer number (381000).

Almost surely, 2^15728960 is an apocalyptic number.

15728960 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 15728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336000).

15728960 is an abundant number, since it is smaller than the sum of its proper divisors (26943040).

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

15728960 is a wasteful number, since it uses less digits than its factorization.

15728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 15728960 is about 3965.9752898877. The cubic root of 15728960 is about 250.5532281846.

It can be divided in two parts, 157289 and 60, that multiplied together give a triangular number (9437340 = T₄₃₄₄).

The spelling of 15728960 in words is "fifteen million, seven hundred twenty-eight thousand, nine hundred sixty".