39852288 has 162 divisors, whose sum is σ = 134042454. Its totient is φ = 11354112.

The previous prime is 39852283. The next prime is 39852313. The reversal of 39852288 is 88225893.

It can be written as a sum of positive squares in only one way, i.e., 32626944 + 7225344 = 5712^2 + 2688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39852283) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112720 + ... + 113072.

Almost surely, 2^39852288 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 39852288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67021227).

39852288 is an abundant number, since it is smaller than the sum of its proper divisors (94190166).

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

39852288 is a wasteful number, since it uses less digits than its factorization.

39852288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 365 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 39852288 is about 6312.8668606268. The cubic root of 39852288 is about 341.5736968012.

The spelling of 39852288 in words is "thirty-nine million, eight hundred fifty-two thousand, two hundred eighty-eight".