128258208 has 192 divisors, whose sum is σ = 424771200. Its totient is φ = 37324800.

The previous prime is 128258203. The next prime is 128258231. The reversal of 128258208 is 802852821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128258201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213108 + ... + 213708.

It is an arithmetic number, because the mean of its divisors is an integer number (2212350).

Almost surely, 2^128258208 is an apocalyptic number.

128258208 is a gapful number since it is divisible by the number (18) 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 128258208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212385600).

128258208 is an abundant number, since it is smaller than the sum of its proper divisors (296512992).

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

128258208 is a wasteful number, since it uses less digits than its factorization.

128258208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 128258208 is about 11325.1140391609. The cubic root of 128258208 is about 504.3070691116.

It can be divided in two parts, 12825 and 8208, that multiplied together give a square (105267600 = 10260²).

The spelling of 128258208 in words is "one hundred twenty-eight million, two hundred fifty-eight thousand, two hundred eight".