128894400 has 126 divisors (see below), whose sum is σ = 458172312. Its totient is φ = 34368000.

The previous prime is 128894393. The next prime is 128894401. The reversal of 128894400 is 4498821.

It is a super-2 number, since 2×128894400² = 33227532702720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128894401) 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, 9925 + ... + 18875.

Almost surely, 2^128894400 is an apocalyptic number.

128894400 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 128894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229086156).

128894400 is an abundant number, since it is smaller than the sum of its proper divisors (329277912).

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

128894400 is a wasteful number, since it uses less digits than its factorization.

128894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 128894400 is about 11353.1669590472. The cubic root of 128894400 is about 505.1395229295.

The spelling of 128894400 in words is "one hundred twenty-eight million, eight hundred ninety-four thousand, four hundred".