2652728 has 32 divisors (see below), whose sum is σ = 5594400. Its totient is φ = 1170048.

The previous prime is 2652719. The next prime is 2652737. The reversal of 2652728 is 8272562.

It is an interprime number because it is at equal distance from previous prime (2652719) and next prime (2652737).

Together with 2941672 it forms an amicable pair .

It is a junction number, because it is equal to n+sod(n) for n = 2652694 and 2652703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1838 + ... + 2946.

It is an arithmetic number, because the mean of its divisors is an integer number (174825).

2^2652728 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 2652728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797200).

2652728 is an abundant number, since it is smaller than the sum of its proper divisors (2941672).

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

2652728 is a wasteful number, since it uses less digits than its factorization.

2652728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1147 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 2652728 is about 1628.7197426200. The cubic root of 2652728 is about 138.4302193804.

The spelling of 2652728 in words is "two million, six hundred fifty-two thousand, seven hundred twenty-eight".