138384828 has 96 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 41119488.

The previous prime is 138384823. The next prime is 138384833. The reversal of 138384828 is 828483831.

138384828 is a `hidden beast` number, since 138 + 38 + 482 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (138384823) and next prime (138384833).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138384823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32901 + ... + 36867.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2^138384828 is an apocalyptic number.

138384828 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 138384828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

138384828 is an abundant number, since it is smaller than the sum of its proper divisors (261589572).

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

138384828 is a wasteful number, since it uses less digits than its factorization.

138384828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4008 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 138384828 is about 11763.7080888638. The cubic root of 138384828 is about 517.2448311439.

The spelling of 138384828 in words is "one hundred thirty-eight million, three hundred eighty-four thousand, eight hundred twenty-eight".