38311728 has 160 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 10047744.

The previous prime is 38311717. The next prime is 38311751. The reversal of 38311728 is 82711383.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (8064) is a multiple of the sum of its prime factors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213943 + ... + 214121.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^38311728 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 38311728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

38311728 is an abundant number, since it is smaller than the sum of its proper divisors (86680272).

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

38311728 is a wasteful number, since it uses less digits than its factorization.

38311728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 38311728 is about 6189.6468396832. The cubic root of 38311728 is about 337.1143556705.

The spelling of 38311728 in words is "thirty-eight million, three hundred eleven thousand, seven hundred twenty-eight".