128240800 has 72 divisors (see below), whose sum is σ = 323229312. Its totient is φ = 49632000.

The previous prime is 128240771. The next prime is 128240821. The reversal of 128240800 is 8042821.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 22215 + ... + 27385.

It is an arithmetic number, because the mean of its divisors is an integer number (4489296).

Almost surely, 2^128240800 is an apocalyptic number.

128240800 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 128240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161614656).

128240800 is an abundant number, since it is smaller than the sum of its proper divisors (194988512).

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

128240800 is a wasteful number, since it uses less digits than its factorization.

128240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 128240800 is about 11324.3454556985. The cubic root of 128240800 is about 504.2842521842.

The spelling of 128240800 in words is "one hundred twenty-eight million, two hundred forty thousand, eight hundred".