120528000 has 384 divisors, whose sum is σ = 463357440. Its totient is φ = 31104000.

The previous prime is 120527999. The next prime is 120528007. The reversal of 120528000 is 825021.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (120528007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887985 + ... + 3888015.

It is an arithmetic number, because the mean of its divisors is an integer number (1206660).

Almost surely, 2^120528000 is an apocalyptic number.

120528000 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 120528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231678720).

120528000 is an abundant number, since it is smaller than the sum of its proper divisors (342829440).

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

120528000 is an frugal number, since it uses more digits than its factorization.

120528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120528000 is about 10978.5244910234. The cubic root of 120528000 is about 493.9647786413.

The spelling of 120528000 in words is "one hundred twenty million, five hundred twenty-eight thousand".