38440728 has 96 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 12095424.

The previous prime is 38440711. The next prime is 38440729. The reversal of 38440728 is 82704483.

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 = 38440692 and 38440701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38440729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230101 + ... + 230267.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^38440728 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 38440728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

38440728 is an abundant number, since it is smaller than the sum of its proper divisors (71632872).

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

38440728 is a wasteful number, since it uses less digits than its factorization.

38440728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38440728 is about 6200.0587093995. The cubic root of 38440728 is about 337.4922994128.

The spelling of 38440728 in words is "thirty-eight million, four hundred forty thousand, seven hundred twenty-eight".