39933628 has 36 divisors (see below), whose sum is σ = 82436592. Its totient is φ = 16873920.

The previous prime is 39933623. The next prime is 39933643. The reversal of 39933628 is 82633993.

It is a happy number.

39933628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39933623) 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 11 ways as a sum of consecutive naturals, for example, 12913 + ... + 15703.

Almost surely, 2^39933628 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 39933628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41218296).

39933628 is an abundant number, since it is smaller than the sum of its proper divisors (42502964).

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

39933628 is a wasteful number, since it uses less digits than its factorization.

39933628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2873 counting only the distinct ones).

The product of its digits is 209952, while the sum is 43.

The square root of 39933628 is about 6319.3059745513. The cubic root of 39933628 is about 341.8059270765.

The spelling of 39933628 in words is "thirty-nine million, nine hundred thirty-three thousand, six hundred twenty-eight".