17428960 has 48 divisors (see below), whose sum is σ = 41637456. Its totient is φ = 6893568.

The previous prime is 17428951. The next prime is 17428967. The reversal of 17428960 is 6982471.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17428967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14959 + ... + 16081.

It is an arithmetic number, because the mean of its divisors is an integer number (867447).

Almost surely, 2^17428960 is an apocalyptic number.

17428960 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 17428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20818728).

17428960 is an abundant number, since it is smaller than the sum of its proper divisors (24208496).

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

17428960 is a wasteful number, since it uses less digits than its factorization.

17428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 17428960 is about 4174.8005940404. The cubic root of 17428960 is about 259.2729193306.

The spelling of 17428960 in words is "seventeen million, four hundred twenty-eight thousand, nine hundred sixty".