120008928 has 96 divisors (see below), whose sum is σ = 341863200. Its totient is φ = 36860928.

The previous prime is 120008923. The next prime is 120008947. The reversal of 120008928 is 829800021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 120008895 and 120008904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120008923) 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, 210628 + ... + 211196.

It is an arithmetic number, because the mean of its divisors is an integer number (3561075).

Almost surely, 2^120008928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120008928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170931600).

120008928 is an abundant number, since it is smaller than the sum of its proper divisors (221854272).

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

120008928 is an equidigital number, since it uses as much as digits as its factorization.

120008928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 120008928 is about 10954.8586481068. The cubic root of 120008928 is about 493.2546469746.

Adding to 120008928 its reverse (829800021), we get a palindrome (949808949).

The spelling of 120008928 in words is "one hundred twenty million, eight thousand, nine hundred twenty-eight".