53828 has 6 divisors (see below), whose sum is σ = 94206. Its totient is φ = 26912.

The previous prime is 53819. The next prime is 53831. The reversal of 53828 is 82835.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 4 = 232^2 + 2^2 .

It is an Ulam number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 53797 and 53806.

It is an unprimeable number.

53828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6725 + ... + 6732.

It is an arithmetic number, because the mean of its divisors is an integer number (15701).

2⁵³⁸²⁸ is an apocalyptic number.

It is an amenable number.

53828 is a deficient number, since it is larger than the sum of its proper divisors (40378).

53828 is a wasteful number, since it uses less digits than its factorization.

53828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13461 (or 13459 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 53828 is about 232.0086205295. The cubic root of 53828 is about 37.7574579946.

The spelling of 53828 in words is "fifty-three thousand, eight hundred twenty-eight".