38066028 has 96 divisors (see below), whose sum is σ = 119293440. Its totient is φ = 9123840.

The previous prime is 38066027. The next prime is 38066029. The reversal of 38066028 is 82066083.

38066028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38066027) and next prime (38066029).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 38066028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38066023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10428 + ... + 13596.

It is an arithmetic number, because the mean of its divisors is an integer number (1242640).

Almost surely, 2^38066028 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 38066028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59646720).

38066028 is an abundant number, since it is smaller than the sum of its proper divisors (81227412).

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

38066028 is a wasteful number, since it uses less digits than its factorization.

38066028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 38066028 is about 6169.7672565503. The cubic root of 38066028 is about 336.3921512626.

The spelling of 38066028 in words is "thirty-eight million, sixty-six thousand, twenty-eight".