120628816 has 80 divisors (see below), whose sum is σ = 293552640. Its totient is φ = 46650240.

The previous prime is 120628801. The next prime is 120628817. The reversal of 120628816 is 618826021.

It is a super-2 number, since 2×120628816² = 29102622499123712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120628817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220255 + ... + 220801.

It is an arithmetic number, because the mean of its divisors is an integer number (3669408).

Almost surely, 2^120628816 is an apocalyptic number.

120628816 is a gapful number since it is divisible by the number (16) 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 120628816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146776320).

120628816 is an abundant number, since it is smaller than the sum of its proper divisors (172923824).

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

120628816 is a wasteful number, since it uses less digits than its factorization.

120628816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 120628816 is about 10983.1150408252. The cubic root of 120628816 is about 494.1024663559.

The spelling of 120628816 in words is "one hundred twenty million, six hundred twenty-eight thousand, eight hundred sixteen".