78228 has 36 divisors (see below), whose sum is σ = 206388. Its totient is φ = 24960.

The previous prime is 78203. The next prime is 78229. The reversal of 78228 is 82287.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 51984 = 162^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×78228² = 12239239968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78229) by changing a digit.

78228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1450 + ... + 1502.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2⁷⁸²²⁸ 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 78228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194).

78228 is an abundant number, since it is smaller than the sum of its proper divisors (128160).

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

78228 is a wasteful number, since it uses less digits than its factorization.

78228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 99 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 78228 is about 279.6926884994. The cubic root of 78228 is about 42.7681773525.

The spelling of 78228 in words is "seventy-eight thousand, two hundred twenty-eight".