39680928 has 144 divisors (see below), whose sum is σ = 133922880. Its totient is φ = 11337408.

The previous prime is 39680897. The next prime is 39680939. The reversal of 39680928 is 82908693.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5668701 + ... + 5668707.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^39680928 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 39680928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66961440).

39680928 is an abundant number, since it is smaller than the sum of its proper divisors (94241952).

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

39680928 is an frugal number, since it uses more digits than its factorization.

39680928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 39680928 is about 6299.2799588524. The cubic root of 39680928 is about 341.0834182734.

The spelling of 39680928 in words is "thirty-nine million, six hundred eighty thousand, nine hundred twenty-eight".