38333628 has 96 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 12130560.

The previous prime is 38333627. The next prime is 38333651. The reversal of 38333628 is 82633383.

38333628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 38333592 and 38333601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38333627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211698 + ... + 211878.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^38333628 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 38333628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

38333628 is an abundant number, since it is smaller than the sum of its proper divisors (66236292).

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

38333628 is a wasteful number, since it uses less digits than its factorization.

38333628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 38333628 is about 6191.4156701032. The cubic root of 38333628 is about 337.1785779377.

The spelling of 38333628 in words is "thirty-eight million, three hundred thirty-three thousand, six hundred twenty-eight".