5105828 has 48 divisors (see below), whose sum is σ = 11195520. Its totient is φ = 1995552.

The previous prime is 5105809. The next prime is 5105833. The reversal of 5105828 is 8285015.

It is a self number, because there is not a number n which added to its sum of digits gives 5105828.

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 15 ways as a sum of consecutive naturals, for example, 61475 + ... + 61557.

It is an arithmetic number, because the mean of its divisors is an integer number (233240).

Almost surely, 2^5105828 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 5105828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597760).

5105828 is an abundant number, since it is smaller than the sum of its proper divisors (6089692).

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

5105828 is a wasteful number, since it uses less digits than its factorization.

5105828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 5105828 is about 2259.6079305933. The cubic root of 5105828 is about 172.1956040413.

The spelling of 5105828 in words is "five million, one hundred five thousand, eight hundred twenty-eight".