38233728 has 256 divisors, whose sum is σ = 130233600. Its totient is φ = 10948608.

The previous prime is 38233717. The next prime is 38233733. The reversal of 38233728 is 82733283.

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

Its product of digits (48384) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 38233692 and 38233701.

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, 1033326 + ... + 1033362.

It is an arithmetic number, because the mean of its divisors is an integer number (508725).

Almost surely, 2^38233728 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 38233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65116800).

38233728 is an abundant number, since it is smaller than the sum of its proper divisors (91999872).

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

38233728 is a wasteful number, since it uses less digits than its factorization.

38233728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 38233728 is about 6183.3427852578. The cubic root of 38233728 is about 336.8854198137.

The spelling of 38233728 in words is "thirty-eight million, two hundred thirty-three thousand, seven hundred twenty-eight".