38147328 has 72 divisors (see below), whose sum is σ = 112828800. Its totient is φ = 12713472.

The previous prime is 38147327. The next prime is 38147341. The reversal of 38147328 is 82374183.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 38147292 and 38147301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38147327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4153 + ... + 9671.

Almost surely, 2^38147328 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 38147328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56414400).

38147328 is an abundant number, since it is smaller than the sum of its proper divisors (74681472).

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

38147328 is an equidigital number, since it uses as much as digits as its factorization.

38147328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 5524 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 38147328 is about 6176.3523215568. The cubic root of 38147328 is about 336.6314655655.

It can be divided in two parts, 381473 and 28, that added together give a triangular number (381501 = T₈₇₃).

The spelling of 38147328 in words is "thirty-eight million, one hundred forty-seven thousand, three hundred twenty-eight".