38509728 has 96 divisors (see below), whose sum is σ = 107122176. Its totient is φ = 12089088.

The previous prime is 38509703. The next prime is 38509729. The reversal of 38509728 is 82790583.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 38509728.

It is not an unprimeable number, because it can be changed into a prime (38509729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236175 + ... + 236337.

It is an arithmetic number, because the mean of its divisors is an integer number (1115856).

Almost surely, 2^38509728 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 38509728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53561088).

38509728 is an abundant number, since it is smaller than the sum of its proper divisors (68612448).

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

38509728 is a wasteful number, since it uses less digits than its factorization.

38509728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 38509728 is about 6205.6206780628. The cubic root of 38509728 is about 337.6941083673.

The spelling of 38509728 in words is "thirty-eight million, five hundred nine thousand, seven hundred twenty-eight".