5004828 has 72 divisors (see below), whose sum is σ = 13861120. Its totient is φ = 1574640.

The previous prime is 5004827. The next prime is 5004841. The reversal of 5004828 is 8284005.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004821) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18333 + ... + 18603.

Almost surely, 2^5004828 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 5004828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930560).

5004828 is an abundant number, since it is smaller than the sum of its proper divisors (8856292).

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

5004828 is a wasteful number, since it uses less digits than its factorization.

5004828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5004828 is about 2237.1472906360. The cubic root of 5004828 is about 171.0526153879.

It can be divided in two parts, 5004 and 828, that added together give a cube (5832 = 18³).

The spelling of 5004828 in words is "five million, four thousand, eight hundred twenty-eight".