120232728 has 128 divisors (see below), whose sum is σ = 416448000. Its totient is φ = 31224960.

The previous prime is 120232727. The next prime is 120232729. The reversal of 120232728 is 827232021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120232727) and next prime (120232729).

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 (120232727) 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 31 ways as a sum of consecutive naturals, for example, 13018 + ... + 20246.

It is an arithmetic number, because the mean of its divisors is an integer number (3253500).

Almost surely, 2^120232728 is an apocalyptic number.

120232728 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 120232728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208224000).

120232728 is an abundant number, since it is smaller than the sum of its proper divisors (296215272).

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

120232728 is a wasteful number, since it uses less digits than its factorization.

120232728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 120232728 is about 10965.0685360375. The cubic root of 120232728 is about 493.5610737323.

Adding to 120232728 its reverse (827232021), we get a palindrome (947464749).

It can be divided in two parts, 1202 and 32728, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 120232728 in words is "one hundred twenty million, two hundred thirty-two thousand, seven hundred twenty-eight".