128413600 has 144 divisors (see below), whose sum is σ = 374226048. Its totient is φ = 42071040.

The previous prime is 128413591. The next prime is 128413603. The reversal of 128413600 is 6314821.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (128413603) 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, 128302 + ... + 129298.

It is an arithmetic number, because the mean of its divisors is an integer number (2598792).

Almost surely, 2^128413600 is an apocalyptic number.

128413600 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 128413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187113024).

128413600 is an abundant number, since it is smaller than the sum of its proper divisors (245812448).

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

128413600 is a wasteful number, since it uses less digits than its factorization.

128413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 128413600 is about 11331.9724673157. The cubic root of 128413600 is about 504.5106523328.

It can be divided in two parts, 1284 and 13600, that added together give a square (14884 = 122²).

The spelling of 128413600 in words is "one hundred twenty-eight million, four hundred thirteen thousand, six hundred".