38228112 has 100 divisors (see below), whose sum is σ = 119206780. Its totient is φ = 11757312.

The previous prime is 38228111. The next prime is 38228117. The reversal of 38228112 is 21182283.

38228112 is a `hidden beast` number, since 382 + 281 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 34857216 = 1836^2 + 5904^2 .

It is a super-2 number, since 2×38228112² = 2922777094169088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38228111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15714 + ... + 17982.

Almost surely, 2^38228112 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 38228112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59603390).

38228112 is an abundant number, since it is smaller than the sum of its proper divisors (80978668).

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

38228112 is a wasteful number, since it uses less digits than its factorization.

38228112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2287 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 38228112 is about 6182.8886452855. Note that the first 3 decimals coincide. The cubic root of 38228112 is about 336.8689244203.

It can be divided in two parts, 38 and 228112, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 38228112 in words is "thirty-eight million, two hundred twenty-eight thousand, one hundred twelve".