38617728 has 128 divisors (see below), whose sum is σ = 110976000. Its totient is φ = 11860992.

The previous prime is 38617679. The next prime is 38617729. The reversal of 38617728 is 82771683.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 38617728.

It is not an unprimeable number, because it can be changed into a prime (38617729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488793 + ... + 488871.

It is an arithmetic number, because the mean of its divisors is an integer number (867000).

Almost surely, 2^38617728 is an apocalyptic number.

38617728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55488000).

38617728 is an abundant number, since it is smaller than the sum of its proper divisors (72358272).

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

38617728 is a wasteful number, since it uses less digits than its factorization.

38617728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 38617728 is about 6214.3163743086. The cubic root of 38617728 is about 338.0094998672.

The spelling of 38617728 in words is "thirty-eight million, six hundred seventeen thousand, seven hundred twenty-eight".