38761728 has 72 divisors (see below), whose sum is σ = 105764736. Its totient is φ = 12595200.

The previous prime is 38761651. The next prime is 38761753. The reversal of 38761728 is 82716783.

It is a self number, because there is not a number n which added to its sum of digits gives 38761728.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30873 + ... + 32103.

Almost surely, 2^38761728 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 38761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52882368).

38761728 is an abundant number, since it is smaller than the sum of its proper divisors (67003008).

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

38761728 is a wasteful number, since it uses less digits than its factorization.

38761728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1277 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 38761728 is about 6225.8917433569. The cubic root of 38761728 is about 338.4291084842.

The spelling of 38761728 in words is "thirty-eight million, seven hundred sixty-one thousand, seven hundred twenty-eight".