128887200 has 504 divisors, whose sum is σ = 537926508. Its totient is φ = 29859840.

The previous prime is 128887177. The next prime is 128887261. The reversal of 128887200 is 2788821.

It can be written as a sum of positive squares in 6 ways, for example, as 40602384 + 88284816 = 6372^2 + 9396^2 .

It is a super-2 number, since 2×128887200² = 33223820647680000, 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 an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7581592 + ... + 7581608.

Almost surely, 2^128887200 is an apocalyptic number.

128887200 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 128887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268963254).

128887200 is an abundant number, since it is smaller than the sum of its proper divisors (409039308).

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

128887200 is a wasteful number, since it uses less digits than its factorization.

128887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 128887200 is about 11352.8498624795. The cubic root of 128887200 is about 505.1301171103.

It can be divided in two parts, 1288 and 87200, that added together give a palindrome (88488).

The spelling of 128887200 in words is "one hundred twenty-eight million, eight hundred eighty-seven thousand, two hundred".