128503680 has 256 divisors, whose sum is σ = 451215360. Its totient is φ = 30965760.

The previous prime is 128503679. The next prime is 128503699. The reversal of 128503680 is 86305821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011777 + ... + 1011903.

It is an arithmetic number, because the mean of its divisors is an integer number (1762560).

Almost surely, 2^128503680 is an apocalyptic number.

128503680 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 128503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225607680).

128503680 is an abundant number, since it is smaller than the sum of its proper divisors (322711680).

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

128503680 is a wasteful number, since it uses less digits than its factorization.

128503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 128503680 is about 11335.9463654342. The cubic root of 128503680 is about 504.6285933637.

The spelling of 128503680 in words is "one hundred twenty-eight million, five hundred three thousand, six hundred eighty".