2628738 has 48 divisors (see below), whose sum is σ = 6729216. Its totient is φ = 725760.

The previous prime is 2628737. The next prime is 2628749. The reversal of 2628738 is 8378262.

It is a happy number.

It is a d-powerful number, because it can be written as 2² + 6 + 2²¹ + 8² + 7 + 3¹² + 8² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628737) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3570 + ... + 4242.

It is an arithmetic number, because the mean of its divisors is an integer number (140192).

2^2628738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364608).

2628738 is an abundant number, since it is smaller than the sum of its proper divisors (4100478).

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

2628738 is a wasteful number, since it uses less digits than its factorization.

2628738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 716 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2628738 is about 1621.3383360668. The cubic root of 2628738 is about 138.0116562303.

The spelling of 2628738 in words is "two million, six hundred twenty-eight thousand, seven hundred thirty-eight".