38028320 has 192 divisors, whose sum is σ = 109734912. Its totient is φ = 12288000.

The previous prime is 38028317. The next prime is 38028343. The reversal of 38028320 is 2382083.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38028320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927500 + ... + 927540.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 2^38028320 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 38028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867456).

38028320 is an abundant number, since it is smaller than the sum of its proper divisors (71706592).

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

38028320 is a wasteful number, since it uses less digits than its factorization.

38028320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 38028320 is about 6166.7106304739. The cubic root of 38028320 is about 336.2810384877.

The spelling of 38028320 in words is "thirty-eight million, twenty-eight thousand, three hundred twenty".