128320800 has 144 divisors (see below), whose sum is σ = 421972992. Its totient is φ = 33868800.

The previous prime is 128320793. The next prime is 128320807. The reversal of 128320800 is 8023821.

It is an interprime number because it is at equal distance from previous prime (128320793) and next prime (128320807).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (128320807) 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, 304590 + ... + 305010.

It is an arithmetic number, because the mean of its divisors is an integer number (2930368).

Almost surely, 2^128320800 is an apocalyptic number.

128320800 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 128320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210986496).

128320800 is an abundant number, since it is smaller than the sum of its proper divisors (293652192).

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

128320800 is a wasteful number, since it uses less digits than its factorization.

128320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 128320800 is about 11327.8771179776. The cubic root of 128320800 is about 504.3890923342.

The spelling of 128320800 in words is "one hundred twenty-eight million, three hundred twenty thousand, eight hundred".