130417728 has 112 divisors (see below), whose sum is σ = 411601920. Its totient is φ = 35633664.

The previous prime is 130417717. The next prime is 130417739. The reversal of 130417728 is 827714031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130417717) and next prime (130417739).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 28803 + ... + 33021.

Almost surely, 2^130417728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205800960).

130417728 is an abundant number, since it is smaller than the sum of its proper divisors (281184192).

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

130417728 is a wasteful number, since it uses less digits than its factorization.

130417728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 130417728 is about 11420.0581434597. The cubic root of 130417728 is about 507.1217179917.

The spelling of 130417728 in words is "one hundred thirty million, four hundred seventeen thousand, seven hundred twenty-eight".