38292228 has 72 divisors (see below), whose sum is σ = 110394648. Its totient is φ = 11086848.

The previous prime is 38292227. The next prime is 38292251. The reversal of 38292228 is 82229283.

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 30272004 = 2832^2 + 5502^2 .

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 = 38292192 and 38292201.

It is not an unprimeable number, because it can be changed into a prime (38292227) 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, 5550 + ... + 10362.

It is an arithmetic number, because the mean of its divisors is an integer number (1533259).

Almost surely, 2^38292228 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 38292228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55197324).

38292228 is an abundant number, since it is smaller than the sum of its proper divisors (72102420).

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

38292228 is a wasteful number, since it uses less digits than its factorization.

38292228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853 (or 4848 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 38292228 is about 6188.0714281592. The cubic root of 38292228 is about 337.0571508588.

The spelling of 38292228 in words is "thirty-eight million, two hundred ninety-two thousand, two hundred twenty-eight".