128282800 has 60 divisors (see below), whose sum is σ = 312609456. Its totient is φ = 50579200.

The previous prime is 128282779. The next prime is 128282801. The reversal of 128282800 is 8282821.

It is a super-3 number, since 3×128282800³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (128282801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26142 + ... + 30658.

Almost surely, 2^128282800 is an apocalyptic number.

128282800 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 128282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156304728).

128282800 is an abundant number, since it is smaller than the sum of its proper divisors (184326656).

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

128282800 is a wasteful number, since it uses less digits than its factorization.

128282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 128282800 is about 11326.1997157034. The cubic root of 128282800 is about 504.3392986978.

The spelling of 128282800 in words is "one hundred twenty-eight million, two hundred eighty-two thousand, eight hundred".