38503728 has 80 divisors (see below), whose sum is σ = 116361600. Its totient is φ = 12156480.

The previous prime is 38503727. The next prime is 38503753. The reversal of 38503728 is 82730583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38503692 and 38503701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38503721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5863 + ... + 10553.

It is an arithmetic number, because the mean of its divisors is an integer number (1454520).

Almost surely, 2^38503728 is an apocalyptic number.

38503728 is a gapful number since it is divisible by the number (38) 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 38503728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58180800).

38503728 is an abundant number, since it is smaller than the sum of its proper divisors (77857872).

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

38503728 is a wasteful number, since it uses less digits than its factorization.

38503728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 38503728 is about 6205.1372265245. The cubic root of 38503728 is about 337.6765693368.

The spelling of 38503728 in words is "thirty-eight million, five hundred three thousand, seven hundred twenty-eight".