36285228 has 72 divisors (see below), whose sum is σ = 105865760. Its totient is φ = 10264320.

The previous prime is 36285173. The next prime is 36285229. The reversal of 36285228 is 82258263.

36285228 is a `hidden beast` number, since 3 + 628 + 5 + 2 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36285192 and 36285201.

It is not an unprimeable number, because it can be changed into a prime (36285229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26808 + ... + 28128.

Almost surely, 2^36285228 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 36285228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52932880).

36285228 is an abundant number, since it is smaller than the sum of its proper divisors (69580532).

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

36285228 is a wasteful number, since it uses less digits than its factorization.

36285228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1442 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 36285228 is about 6023.7221051440. The cubic root of 36285228 is about 331.0624709050.

The spelling of 36285228 in words is "thirty-six million, two hundred eighty-five thousand, two hundred twenty-eight".