38849328 has 160 divisors (see below), whose sum is σ = 132134400. Its totient is φ = 10692864.

The previous prime is 38849311. The next prime is 38849329. The reversal of 38849328 is 82394883.

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

It is not an unprimeable number, because it can be changed into a prime (38849329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87475 + ... + 87917.

It is an arithmetic number, because the mean of its divisors is an integer number (825840).

Almost surely, 2^38849328 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 38849328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66067200).

38849328 is an abundant number, since it is smaller than the sum of its proper divisors (93285072).

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

38849328 is a wasteful number, since it uses less digits than its factorization.

38849328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 38849328 is about 6232.9229098393. The cubic root of 38849328 is about 338.6838622168.

It can be divided in two parts, 388493 and 28, that added together give a triangular number (388521 = T₈₈₁).

The spelling of 38849328 in words is "thirty-eight million, eight hundred forty-nine thousand, three hundred twenty-eight".