38409728 has 60 divisors (see below), whose sum is σ = 89332452. Its totient is φ = 16450560.

The previous prime is 38409727. The next prime is 38409733. The reversal of 38409728 is 82790483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38409727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24323 + ... + 25853.

Almost surely, 2^38409728 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 38409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44666226).

38409728 is an abundant number, since it is smaller than the sum of its proper divisors (50922724).

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

38409728 is an equidigital number, since it uses as much as digits as its factorization.

38409728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 38409728 is about 6197.5582288511. The cubic root of 38409728 is about 337.4015529964.

The spelling of 38409728 in words is "thirty-eight million, four hundred nine thousand, seven hundred twenty-eight".