17980128 has 72 divisors (see below), whose sum is σ = 51597000. Its totient is φ = 5938944.

The previous prime is 17980103. The next prime is 17980129. The reversal of 17980128 is 82108971.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 17980092 and 17980101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17980129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42703 + ... + 43121.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 2^17980128 is an apocalyptic number.

17980128 is a gapful number since it is divisible by the number (18) 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 17980128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25798500).

17980128 is an abundant number, since it is smaller than the sum of its proper divisors (33616872).

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

17980128 is a wasteful number, since it uses less digits than its factorization.

17980128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 17980128 is about 4240.2981027282. The cubic root of 17980128 is about 261.9776606247.

The spelling of 17980128 in words is "seventeen million, nine hundred eighty thousand, one hundred twenty-eight".