2628136 has 32 divisors (see below), whose sum is σ = 5719680. Its totient is φ = 1108800.

The previous prime is 2628133. The next prime is 2628139. The reversal of 2628136 is 6318262.

It is an interprime number because it is at equal distance from previous prime (2628133) and next prime (2628139).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2628133) 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 7 ways as a sum of consecutive naturals, for example, 3646 + ... + 4306.

It is an arithmetic number, because the mean of its divisors is an integer number (178740).

2^2628136 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 2628136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859840).

2628136 is an abundant number, since it is smaller than the sum of its proper divisors (3091544).

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

2628136 is a wasteful number, since it uses less digits than its factorization.

2628136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 2628136 is about 1621.1526763387. The cubic root of 2628136 is about 138.0011202037.

The spelling of 2628136 in words is "two million, six hundred twenty-eight thousand, one hundred thirty-six".