38728656 has 60 divisors (see below), whose sum is σ = 110188260. Its totient is φ = 12695040.

The previous prime is 38728609. The next prime is 38728661. The reversal of 38728656 is 65682783.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 36723600 = 1416^2 + 6060^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6580 + ... + 10988.

It is an arithmetic number, because the mean of its divisors is an integer number (1836471).

Almost surely, 2^38728656 is an apocalyptic number.

38728656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38728656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55094130).

38728656 is an abundant number, since it is smaller than the sum of its proper divisors (71459604).

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

38728656 is a wasteful number, since it uses less digits than its factorization.

38728656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4475 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 38728656 is about 6223.2351715165. The cubic root of 38728656 is about 338.3328304219.

The spelling of 38728656 in words is "thirty-eight million, seven hundred twenty-eight thousand, six hundred fifty-six".