2413728 has 108 divisors (see below), whose sum is σ = 7542990. Its totient is φ = 731136.

The previous prime is 2413727. The next prime is 2413739. The reversal of 2413728 is 8273142.

It can be written as a sum of positive squares in 3 ways, for example, as 2396304 + 17424 = 1548^2 + 132^2 .

It is not an unprimeable number, because it can be changed into a prime (2413721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83218 + ... + 83246.

2^2413728 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 2413728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771495).

2413728 is an abundant number, since it is smaller than the sum of its proper divisors (5129262).

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

2413728 is a wasteful number, since it uses less digits than its factorization.

2413728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

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

The square root of 2413728 is about 1553.6177135962. The cubic root of 2413728 is about 134.1413819272.

It can be divided in two parts, 241 and 3728, that added together give a square (3969 = 63²).

The spelling of 2413728 in words is "two million, four hundred thirteen thousand, seven hundred twenty-eight".