38971728 has 60 divisors (see below), whose sum is σ = 109977088. Its totient is φ = 12882240.

The previous prime is 38971711. The next prime is 38971739. The reversal of 38971728 is 82717983.

It is a congruent number.

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, 17223 + ... + 19353.

Almost surely, 2^38971728 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 38971728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54988544).

38971728 is an abundant number, since it is smaller than the sum of its proper divisors (71005360).

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

38971728 is a wasteful number, since it uses less digits than its factorization.

38971728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2263 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 38971728 is about 6242.7340164386. The cubic root of 38971728 is about 339.0391789109.

It can be divided in two parts, 3897 and 1728, that added together give a square (5625 = 75²).

The spelling of 38971728 in words is "thirty-eight million, nine hundred seventy-one thousand, seven hundred twenty-eight".