120281328 has 80 divisors (see below), whose sum is σ = 357194400. Its totient is φ = 38707200.

The previous prime is 120281321. The next prime is 120281347. The reversal of 120281328 is 823182021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120281321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7728 + ... + 17328.

It is an arithmetic number, because the mean of its divisors is an integer number (4464930).

Almost surely, 2^120281328 is an apocalyptic number.

120281328 is a gapful number since it is divisible by the number (18) 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 120281328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178597200).

120281328 is an abundant number, since it is smaller than the sum of its proper divisors (236913072).

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

120281328 is a wasteful number, since it uses less digits than its factorization.

120281328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 120281328 is about 10967.2844405532. The cubic root of 120281328 is about 493.6275665453.

The spelling of 120281328 in words is "one hundred twenty million, two hundred eighty-one thousand, three hundred twenty-eight".