2512728 has 32 divisors (see below), whose sum is σ = 6980400. Its totient is φ = 837504.

The previous prime is 2512723. The next prime is 2512739. The reversal of 2512728 is 8272152.

2512728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2512721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5601 + ... + 6032.

2^2512728 is an apocalyptic number.

It is an amenable number.

2512728 is an abundant number, since it is smaller than the sum of its proper divisors (4467672).

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

2512728 is a wasteful number, since it uses less digits than its factorization.

2512728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648 (or 11638 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2512728 is about 1585.1586671371. The cubic root of 2512728 is about 135.9508184335.

It can be divided in two parts, 2512 and 728, that added together give a triangular number (3240 = T₈₀).

The spelling of 2512728 in words is "two million, five hundred twelve thousand, seven hundred twenty-eight".