73828 has 6 divisors (see below), whose sum is σ = 129206. Its totient is φ = 36912.

The previous prime is 73823. The next prime is 73847. The reversal of 73828 is 82837.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 5184 = 262^2 + 72^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73796 and 73805.

It is not an unprimeable number, because it can be changed into a prime (73823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9225 + ... + 9232.

2⁷³⁸²⁸ is an apocalyptic number.

It is an amenable number.

73828 is a deficient number, since it is larger than the sum of its proper divisors (55378).

73828 is a wasteful number, since it uses less digits than its factorization.

73828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18461 (or 18459 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 73828 is about 271.7130839691. The cubic root of 73828 is about 41.9508116521.

Subtracting 73828 from its reverse (82837), we obtain a palindrome (9009).

It can be divided in two parts, 7 and 3828, that multiplied together give a triangular number (26796 = T₂₃₁).

The spelling of 73828 in words is "seventy-three thousand, eight hundred twenty-eight".