128400200 has 48 divisors (see below), whose sum is σ = 299461860. Its totient is φ = 51200000.

The previous prime is 128400179. The next prime is 128400227. The reversal of 128400200 is 2004821.

It can be written as a sum of positive squares in 6 ways, for example, as 122456356 + 5943844 = 11066^2 + 2438^2 .

It is a super-2 number, since 2×128400200² = 32973222720080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79400 + ... + 81000.

Almost surely, 2^128400200 is an apocalyptic number.

128400200 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 128400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149730930).

128400200 is an abundant number, since it is smaller than the sum of its proper divisors (171061660).

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

128400200 is a wasteful number, since it uses less digits than its factorization.

128400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 128400200 is about 11331.3812044252. The cubic root of 128400200 is about 504.4931031067.

The spelling of 128400200 in words is "one hundred twenty-eight million, four hundred thousand, two hundred".