5628144 has 40 divisors (see below), whose sum is σ = 14937040. Its totient is φ = 1824768.

The previous prime is 5628137. The next prime is 5628151. The reversal of 5628144 is 4418265.

It is an interprime number because it is at equal distance from previous prime (5628137) and next prime (5628151).

It is a congruent number.

It is an unprimeable number.

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, 192 + ... + 3360.

It is an arithmetic number, because the mean of its divisors is an integer number (373426).

Almost surely, 2^5628144 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 5628144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468520).

5628144 is an abundant number, since it is smaller than the sum of its proper divisors (9308896).

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

5628144 is a wasteful number, since it uses less digits than its factorization.

5628144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3211 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 5628144 is about 2372.3709659326. The cubic root of 5628144 is about 177.8777934903.

The spelling of 5628144 in words is "five million, six hundred twenty-eight thousand, one hundred forty-four".