128274728400 has 1440 divisors, whose sum is σ = 572559187200. Its totient is φ = 26417664000.

The previous prime is 128274728399. The next prime is 128274728411. The reversal of 128274728400 is 4827472821.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 979196335 + ... + 979196465.

Almost surely, 2^128274728400 is an apocalyptic number.

128274728400 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 128274728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286279593600).

128274728400 is an abundant number, since it is smaller than the sum of its proper divisors (444284458800).

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

128274728400 is a wasteful number, since it uses less digits than its factorization.

128274728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 128274728400 in words is "one hundred twenty-eight billion, two hundred seventy-four million, seven hundred twenty-eight thousand, four hundred".