128958720 has 288 divisors, whose sum is σ = 466228224. Its totient is φ = 30105600.

The previous prime is 128958707. The next prime is 128958749. The reversal of 128958720 is 27859821.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1816285 + ... + 1816355.

It is an arithmetic number, because the mean of its divisors is an integer number (1618848).

Almost surely, 2^128958720 is an apocalyptic number.

128958720 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 128958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233114112).

128958720 is an abundant number, since it is smaller than the sum of its proper divisors (337269504).

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

128958720 is a wasteful number, since it uses less digits than its factorization.

128958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 128958720 is about 11355.9992955266. Note that the first 3 decimals coincide. The cubic root of 128958720 is about 505.2235327112.

The spelling of 128958720 in words is "one hundred twenty-eight million, nine hundred fifty-eight thousand, seven hundred twenty".