38628896 has 36 divisors (see below), whose sum is σ = 80806698. Its totient is φ = 18173952.

The previous prime is 38628857. The next prime is 38628901. The reversal of 38628896 is 69882683.

It can be written as a sum of positive squares in 3 ways, for example, as 37699600 + 929296 = 6140^2 + 964^2 .

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 5 ways as a sum of consecutive naturals, for example, 7160 + ... + 11336.

Almost surely, 2^38628896 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 38628896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40403349).

38628896 is an abundant number, since it is smaller than the sum of its proper divisors (42177802).

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

38628896 is a wasteful number, since it uses less digits than its factorization.

38628896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4196 counting only the distinct ones).

The product of its digits is 995328, while the sum is 50.

The square root of 38628896 is about 6215.2148796321. The cubic root of 38628896 is about 338.0420801221.

The spelling of 38628896 in words is "thirty-eight million, six hundred twenty-eight thousand, eight hundred ninety-six".