2587128 has 48 divisors (see below), whose sum is σ = 6889080. Its totient is φ = 809472.

The previous prime is 2587127. The next prime is 2587129. The reversal of 2587128 is 8217852.

It is an interprime number because it is at equal distance from previous prime (2587127) and next prime (2587129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6750 + ... + 7122.

2^2587128 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 2587128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444540).

2587128 is an abundant number, since it is smaller than the sum of its proper divisors (4301952).

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

2587128 is a wasteful number, since it uses less digits than its factorization.

2587128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 2587128 is about 1608.4551594620. The cubic root of 2587128 is about 137.2795895739.

It can be divided in two parts, 25 and 87128, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 2587128 in words is "two million, five hundred eighty-seven thousand, one hundred twenty-eight".