128768400 has 120 divisors (see below), whose sum is σ = 458358560. Its totient is φ = 34335360.

The previous prime is 128768383. The next prime is 128768443. The reversal of 128768400 is 4867821.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4839 + ... + 16761.

Almost surely, 2^128768400 is an apocalyptic number.

128768400 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 128768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229179280).

128768400 is an abundant number, since it is smaller than the sum of its proper divisors (329590160).

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

128768400 is a wasteful number, since it uses less digits than its factorization.

128768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11950 (or 11933 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 128768400 is about 11347.6164898185. The cubic root of 128768400 is about 504.9748704941.

The spelling of 128768400 in words is "one hundred twenty-eight million, seven hundred sixty-eight thousand, four hundred".