128827238400 has 576 divisors, whose sum is σ = 540846633600. Its totient is φ = 29444014080.

The previous prime is 128827238381. The next prime is 128827238413. The reversal of 128827238400 is 4832728821.

128827238400 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 2 + 7 + 238 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9670144 + ... + 9683456.

It is an arithmetic number, because the mean of its divisors is an integer number (938969850).

Almost surely, 2^128827238400 is an apocalyptic number.

128827238400 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 128827238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270423316800).

128827238400 is an abundant number, since it is smaller than the sum of its proper divisors (412019395200).

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

128827238400 is a wasteful number, since it uses less digits than its factorization.

128827238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13361 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 128827238400 in words is "one hundred twenty-eight billion, eight hundred twenty-seven million, two hundred thirty-eight thousand, four hundred".