39893328 has 120 divisors (see below), whose sum is σ = 118820520. Its totient is φ = 12472320.

The previous prime is 39893323. The next prime is 39893351. The reversal of 39893328 is 82339893.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 39841344 = 228^2 + 6312^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39893323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171100 + ... + 171332.

It is an arithmetic number, because the mean of its divisors is an integer number (990171).

Almost surely, 2^39893328 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 39893328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59410260).

39893328 is an abundant number, since it is smaller than the sum of its proper divisors (78927192).

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

39893328 is a wasteful number, since it uses less digits than its factorization.

39893328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 39893328 is about 6316.1165283741. The cubic root of 39893328 is about 341.6909077652.

The spelling of 39893328 in words is "thirty-nine million, eight hundred ninety-three thousand, three hundred twenty-eight".