12313728 has 128 divisors (see below), whose sum is σ = 41616000. Its totient is φ = 3511296.

The previous prime is 12313709. The next prime is 12313747. The reversal of 12313728 is 82731321.

It is an interprime number because it is at equal distance from previous prime (12313709) and next prime (12313747).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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, 23938 + ... + 24446.

It is an arithmetic number, because the mean of its divisors is an integer number (325125).

Almost surely, 2^12313728 is an apocalyptic number.

12313728 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 12313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808000).

12313728 is an abundant number, since it is smaller than the sum of its proper divisors (29302272).

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

12313728 is an equidigital number, since it uses as much as digits as its factorization.

12313728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 12313728 is about 3509.0921902965. The cubic root of 12313728 is about 230.9208701814.

It can be divided in two parts, 12313 and 728, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12313728 in words is "twelve million, three hundred thirteen thousand, seven hundred twenty-eight".