128417280 has 160 divisors (see below), whose sum is σ = 428972544. Its totient is φ = 32710656.

The previous prime is 128417279. The next prime is 128417291. The reversal of 128417280 is 82714821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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, 176277 + ... + 177003.

Almost surely, 2^128417280 is an apocalyptic number.

128417280 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 128417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

128417280 is an abundant number, since it is smaller than the sum of its proper divisors (300555264).

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

128417280 is an equidigital number, since it uses as much as digits as its factorization.

128417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 128417280 is about 11332.1348385907. The cubic root of 128417280 is about 504.5154716081.

The spelling of 128417280 in words is "one hundred twenty-eight million, four hundred seventeen thousand, two hundred eighty".