128318400 has 504 divisors, whose sum is σ = 556849280. Its totient is φ = 27371520.

The previous prime is 128318389. The next prime is 128318429. The reversal of 128318400 is 4813821.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×128318400² = 32931223557120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1915167 + ... + 1915233.

Almost surely, 2^128318400 is an apocalyptic number.

128318400 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 128318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278424640).

128318400 is an abundant number, since it is smaller than the sum of its proper divisors (428530880).

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

128318400 is a wasteful number, since it uses less digits than its factorization.

128318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 128318400 is about 11327.7711841297. The cubic root of 128318400 is about 504.3859477638.

It can be divided in two parts, 1283 and 18400, that added together give a 9-th power (19683 = 3⁹).

The spelling of 128318400 in words is "one hundred twenty-eight million, three hundred eighteen thousand, four hundred".