138824928 has 168 divisors, whose sum is σ = 447858936. Its totient is φ = 41990400.

The previous prime is 138824927. The next prime is 138824947. The reversal of 138824928 is 829428831.

138824928 is a `hidden beast` number, since 1 + 388 + 249 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138824927) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 256338 + ... + 256878.

It is an arithmetic number, because the mean of its divisors is an integer number (2665827).

Almost surely, 2^138824928 is an apocalyptic number.

138824928 is a gapful number since it is divisible by the number (18) 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 138824928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223929468).

138824928 is an abundant number, since it is smaller than the sum of its proper divisors (309034008).

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

138824928 is an equidigital number, since it uses as much as digits as its factorization.

138824928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 557 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 138824928 is about 11782.3990765888. The cubic root of 138824928 is about 517.7925755781.

The spelling of 138824928 in words is "one hundred thirty-eight million, eight hundred twenty-four thousand, nine hundred twenty-eight".