51828 has 24 divisors (see below), whose sum is σ = 138432. Its totient is φ = 14784.

The previous prime is 51827. The next prime is 51829. The reversal of 51828 is 82815.

51828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51827) and next prime (51829).

It is a super-2 number, since 2×51828² = 5372283168, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 51798 and 51807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (5768).

2⁵¹⁸²⁸ is an apocalyptic number.

It is an amenable number.

51828 is an abundant number, since it is smaller than the sum of its proper divisors (86604).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69216).

51828 is a wasteful number, since it uses less digits than its factorization.

51828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 51828 is about 227.6576376931. The cubic root of 51828 is about 37.2839127823.

The spelling of 51828 in words is "fifty-one thousand, eight hundred twenty-eight".