39728144 has 20 divisors (see below), whose sum is σ = 79628460. Its totient is φ = 19178880.

The previous prime is 39728123. The next prime is 39728197. The reversal of 39728144 is 44182793.

It can be written as a sum of positive squares in 2 ways, for example, as 30118144 + 9610000 = 5488^2 + 3100^2 .

It is a super-4 number, since 4×39728144⁴ (a number of 31 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39728098 and 39728107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42347 + ... + 43274.

It is an arithmetic number, because the mean of its divisors is an integer number (3981423).

Almost surely, 2^39728144 is an apocalyptic number.

It is an amenable number.

39728144 is an abundant number, since it is smaller than the sum of its proper divisors (39900316).

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

39728144 is a wasteful number, since it uses less digits than its factorization.

39728144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85658 (or 85652 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 39728144 is about 6303.0265745910. The cubic root of 39728144 is about 341.2186487409.

The spelling of 39728144 in words is "thirty-nine million, seven hundred twenty-eight thousand, one hundred forty-four".