38781828 has 72 divisors (see below), whose sum is σ = 107688672. Its totient is φ = 12161664.

The previous prime is 38781797. The next prime is 38781851. The reversal of 38781828 is 82818783.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15351 + ... + 17697.

It is an arithmetic number, because the mean of its divisors is an integer number (1495676).

Almost surely, 2^38781828 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 38781828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53844336).

38781828 is an abundant number, since it is smaller than the sum of its proper divisors (68906844).

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

38781828 is a wasteful number, since it uses less digits than its factorization.

38781828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2369 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 38781828 is about 6227.5057607360. The cubic root of 38781828 is about 338.4875961555.

It can be divided in two parts, 387 and 81828, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 38781828 in words is "thirty-eight million, seven hundred eighty-one thousand, eight hundred twenty-eight".