38399328 has 288 divisors, whose sum is σ = 135862272. Its totient is φ = 10137600.

The previous prime is 38399287. The next prime is 38399341. The reversal of 38399328 is 82399383.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238673 + ... + 1238703.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 2^38399328 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 38399328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

38399328 is an abundant number, since it is smaller than the sum of its proper divisors (97462944).

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

38399328 is a wasteful number, since it uses less digits than its factorization.

38399328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 38399328 is about 6196.7191319278. The cubic root of 38399328 is about 337.3710980997.

The spelling of 38399328 in words is "thirty-eight million, three hundred ninety-nine thousand, three hundred twenty-eight".