128198400 has 216 divisors, whose sum is σ = 462303744. Its totient is φ = 31027200.

The previous prime is 128198353. The next prime is 128198407. The reversal of 128198400 is 4891821.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128198407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210897 + ... + 211503.

Almost surely, 2^128198400 is an apocalyptic number.

128198400 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 128198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231151872).

128198400 is an abundant number, since it is smaller than the sum of its proper divisors (334105344).

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

128198400 is a wasteful number, since it uses less digits than its factorization.

128198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 128198400 is about 11322.4732280540. The cubic root of 128198400 is about 504.2286692258.

It can be divided in two parts, 1281 and 98400, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 128198400 in words is "one hundred twenty-eight million, one hundred ninety-eight thousand, four hundred".