38115728 has 60 divisors (see below), whose sum is σ = 87424092. Its totient is φ = 16047360.

The previous prime is 38115719. The next prime is 38115739. The reversal of 38115728 is 82751183.

It can be written as a sum of positive squares in 2 ways, for example, as 7997584 + 30118144 = 2828^2 + 5488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47426 + ... + 48222.

Almost surely, 2^38115728 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 38115728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43712046).

38115728 is an abundant number, since it is smaller than the sum of its proper divisors (49308364).

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

38115728 is a wasteful number, since it uses less digits than its factorization.

38115728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its digits is 13440, while the sum is 35.

The square root of 38115728 is about 6173.7936473452. The cubic root of 38115728 is about 336.5384883856.

The spelling of 38115728 in words is "thirty-eight million, one hundred fifteen thousand, seven hundred twenty-eight".