120528400 has 60 divisors (see below), whose sum is σ = 304829200. Its totient is φ = 45671040.

The previous prime is 120528371. The next prime is 120528407. The reversal of 120528400 is 4825021.

It is not an unprimeable number, because it can be changed into a prime (120528407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330 + ... + 15529.

Almost surely, 2^120528400 is an apocalyptic number.

120528400 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 120528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152414600).

120528400 is an abundant number, since it is smaller than the sum of its proper divisors (184300800).

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

120528400 is a wasteful number, since it uses less digits than its factorization.

120528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15896 (or 15885 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 120528400 is about 10978.5427083926. The cubic root of 120528400 is about 493.9653250861.

The spelling of 120528400 in words is "one hundred twenty million, five hundred twenty-eight thousand, four hundred".