5028144 has 80 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 1492480.

The previous prime is 5028131. The next prime is 5028181. The reversal of 5028144 is 4418205.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46939 + ... + 47045.

It is an arithmetic number, because the mean of its divisors is an integer number (180792).

Almost surely, 2^5028144 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 5028144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680).

5028144 is an abundant number, since it is smaller than the sum of its proper divisors (9435216).

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

5028144 is a wasteful number, since it uses less digits than its factorization.

5028144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5028144 is about 2242.3523362755. The cubic root of 5028144 is about 171.3178316541.

It can be divided in two parts, 502 and 8144, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 5028144 in words is "five million, twenty-eight thousand, one hundred forty-four".