5028100 has 72 divisors (see below), whose sum is σ = 13624128. Its totient is φ = 1564800.

The previous prime is 5028097. The next prime is 5028109. The reversal of 5028100 is 18205.

It is a happy number.

It is a super-2 number, since 2×5028100² = 50563579220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5028109) 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, 7374 + ... + 8026.

It is an arithmetic number, because the mean of its divisors is an integer number (189224).

Almost surely, 2^5028100 is an apocalyptic number.

5028100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812064).

5028100 is an abundant number, since it is smaller than the sum of its proper divisors (8596028).

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

5028100 is a wasteful number, since it uses less digits than its factorization.

5028100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 5028100 is about 2242.3425251286. The cubic root of 5028100 is about 171.3173319332.

The spelling of 5028100 in words is "five million, twenty-eight thousand, one hundred".