120028320 has 288 divisors, whose sum is σ = 445798080. Its totient is φ = 29306880.

The previous prime is 120028277. The next prime is 120028331. The reversal of 120028320 is 23820021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120028293 and 120028302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121707 + ... + 1121813.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^120028320 is an apocalyptic number.

120028320 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 120028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222899040).

120028320 is an abundant number, since it is smaller than the sum of its proper divisors (325769760).

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

120028320 is a wasteful number, since it uses less digits than its factorization.

120028320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120028320 is about 10955.7436990831. The cubic root of 120028320 is about 493.2812135507.

Adding to 120028320 its reverse (23820021), we get a palindrome (143848341).

The spelling of 120028320 in words is "one hundred twenty million, twenty-eight thousand, three hundred twenty".