2618728 has 32 divisors (see below), whose sum is σ = 5679360. Its totient is φ = 1108800.

The previous prime is 2618717. The next prime is 2618741. The reversal of 2618728 is 8278162.

It is a junction number, because it is equal to n+sod(n) for n = 2618693 and 2618702.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5425 + ... + 5887.

It is an arithmetic number, because the mean of its divisors is an integer number (177480).

2^2618728 is an apocalyptic number.

2618728 is a gapful number since it is divisible by the number (28) 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 2618728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839680).

2618728 is an abundant number, since it is smaller than the sum of its proper divisors (3060632).

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

2618728 is a wasteful number, since it uses less digits than its factorization.

2618728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 573 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 2618728 is about 1618.2484358095. The cubic root of 2618728 is about 137.8362547085.

The spelling of 2618728 in words is "two million, six hundred eighteen thousand, seven hundred twenty-eight".