51828832 has 48 divisors (see below), whose sum is σ = 112894992. Its totient is φ = 23224320.

The previous prime is 51828809. The next prime is 51828839. The reversal of 51828832 is 23882815.

51828832 is nontrivially palindromic in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 51828791 and 51828800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51828839) 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 7 ways as a sum of consecutive naturals, for example, 24688 + ... + 26704.

It is an arithmetic number, because the mean of its divisors is an integer number (2351979).

Almost surely, 2^51828832 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 51828832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56447496).

51828832 is an abundant number, since it is smaller than the sum of its proper divisors (61066160).

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

51828832 is a wasteful number, since it uses less digits than its factorization.

51828832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2103 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 51828832 is about 7199.2244026701. The cubic root of 51828832 is about 372.8411228866.

The spelling of 51828832 in words is "fifty-one million, eight hundred twenty-eight thousand, eight hundred thirty-two".