38028144 has 80 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 9876480.

The previous prime is 38028143. The next prime is 38028169. The reversal of 38028144 is 44182083.

It is a super-2 number, since 2×38028144² = 2892279472169472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38028143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1449 + ... + 8840.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 2^38028144 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 38028144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

38028144 is an abundant number, since it is smaller than the sum of its proper divisors (84464016).

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

38028144 is a wasteful number, since it uses less digits than its factorization.

38028144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10318 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 38028144 is about 6166.6963602889. The cubic root of 38028144 is about 336.2805197028.

The spelling of 38028144 in words is "thirty-eight million, twenty-eight thousand, one hundred forty-four".