38017728 has 168 divisors, whose sum is σ = 130302000. Its totient is φ = 10838016.

The previous prime is 38017703. The next prime is 38017757. The reversal of 38017728 is 82771083.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38017692 and 38017701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84448 + ... + 84896.

Almost surely, 2^38017728 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 38017728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65151000).

38017728 is an abundant number, since it is smaller than the sum of its proper divisors (92284272).

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

38017728 is a wasteful number, since it uses less digits than its factorization.

38017728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 38017728 is about 6165.8517659769. The cubic root of 38017728 is about 336.2498142184.

The spelling of 38017728 in words is "thirty-eight million, seventeen thousand, seven hundred twenty-eight".