38449728 has 70 divisors (see below), whose sum is σ = 113992406. Its totient is φ = 12814848.

The previous prime is 38449727. The next prime is 38449729. The reversal of 38449728 is 82794483.

It is an interprime number because it is at equal distance from previous prime (38449727) and next prime (38449729).

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 1871424 = 6048^2 + 1368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38449727) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1476 + ... + 8892.

Almost surely, 2^38449728 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 38449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996203).

38449728 is an abundant number, since it is smaller than the sum of its proper divisors (75542678).

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

38449728 is an equidigital number, since it uses as much as digits as its factorization.

38449728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7422 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 38449728 is about 6200.7844665010. The cubic root of 38449728 is about 337.5186360080.

The spelling of 38449728 in words is "thirty-eight million, four hundred forty-nine thousand, seven hundred twenty-eight".