128758560 has 96 divisors (see below), whose sum is σ = 463542912. Its totient is φ = 29429760.

The previous prime is 128758559. The next prime is 128758583. The reversal of 128758560 is 65857821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 15801 + ... + 22520.

It is an arithmetic number, because the mean of its divisors is an integer number (4828572).

Almost surely, 2^128758560 is an apocalyptic number.

128758560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128758560 is an abundant number, since it is smaller than the sum of its proper divisors (334784352).

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

128758560 is a wasteful number, since it uses less digits than its factorization.

128758560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38346 (or 38338 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 128758560 is about 11347.1829103086. The cubic root of 128758560 is about 504.9620074022.

The spelling of 128758560 in words is "one hundred twenty-eight million, seven hundred fifty-eight thousand, five hundred sixty".