128084800 has 126 divisors (see below), whose sum is σ = 336007202. Its totient is φ = 48046080.

The previous prime is 128084773. The next prime is 128084809. The reversal of 128084800 is 8480821.

It can be written as a sum of positive squares in 9 ways, for example, as 21086464 + 106998336 = 4592^2 + 10344^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128084809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 462262 + ... + 462538.

Almost surely, 2^128084800 is an apocalyptic number.

128084800 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 128084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168003601).

128084800 is an abundant number, since it is smaller than the sum of its proper divisors (207922402).

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

128084800 is a wasteful number, since it uses less digits than its factorization.

128084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 301 counting only the distinct ones).

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

The square root of 128084800 is about 11317.4555444234. The cubic root of 128084800 is about 504.0796884159.

The spelling of 128084800 in words is "one hundred twenty-eight million, eighty-four thousand, eight hundred".