2628752 has 40 divisors (see below), whose sum is σ = 5952000. Its totient is φ = 1124256.

The previous prime is 2628749. The next prime is 2628779. The reversal of 2628752 is 2578262.

It is a d-powerful number, because it can be written as 2¹⁰ + 6⁸ + 2¹⁴ + 8 + 7⁵ + 5⁸ + 2¹⁹ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5249 + ... + 5727.

It is an arithmetic number, because the mean of its divisors is an integer number (148800).

2^2628752 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 2628752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976000).

2628752 is an abundant number, since it is smaller than the sum of its proper divisors (3323248).

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

2628752 is an equidigital number, since it uses as much as digits as its factorization.

2628752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 488 counting only the distinct ones).

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

The square root of 2628752 is about 1621.3426534820. The cubic root of 2628752 is about 138.0119012350.

The spelling of 2628752 in words is "two million, six hundred twenty-eight thousand, seven hundred fifty-two".