5006628 has 72 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1479360.

The previous prime is 5006623. The next prime is 5006657. The reversal of 5006628 is 8266005.

It is not an unprimeable number, because it can be changed into a prime (5006621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18478 + ... + 18746.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^5006628 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 5006628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

5006628 is an abundant number, since it is smaller than the sum of its proper divisors (9145692).

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

5006628 is a wasteful number, since it uses less digits than its factorization.

5006628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5006628 is about 2237.5495525239. The cubic root of 5006628 is about 171.0731194428.

The spelling of 5006628 in words is "five million, six thousand, six hundred twenty-eight".