38611728 has 60 divisors (see below), whose sum is σ = 112072688. Its totient is φ = 12869280.

The previous prime is 38611691. The next prime is 38611739. The reversal of 38611728 is 82711683.

38611728 is a `hidden beast` number, since 38 + 611 + 7 + 2 + 8 = 666.

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 = 38611692 and 38611701.

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, 1078 + ... + 8853.

Almost surely, 2^38611728 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 38611728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56036344).

38611728 is an abundant number, since it is smaller than the sum of its proper divisors (73460960).

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

38611728 is an equidigital number, since it uses as much as digits as its factorization.

38611728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954 (or 9936 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 38611728 is about 6213.8335993169. The cubic root of 38611728 is about 337.9919935547.

The spelling of 38611728 in words is "thirty-eight million, six hundred eleven thousand, seven hundred twenty-eight".