128417000 has 64 divisors (see below), whose sum is σ = 302225040. Its totient is φ = 51072000.

The previous prime is 128416987. The next prime is 128417059. The reversal of 128417000 is 714821.

It can be written as a sum of positive squares in 8 ways, for example, as 26770276 + 101646724 = 5174^2 + 10082^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 280772 + ... + 281228.

Almost surely, 2^128417000 is an apocalyptic number.

128417000 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 128417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151112520).

128417000 is an abundant number, since it is smaller than the sum of its proper divisors (173808040).

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

128417000 is a wasteful number, since it uses less digits than its factorization.

128417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 128417000 is about 11332.1224843363. The cubic root of 128417000 is about 504.5151049274.

The spelling of 128417000 in words is "one hundred twenty-eight million, four hundred seventeen thousand".