39944928 has 96 divisors (see below), whose sum is σ = 111283200. Its totient is φ = 12519936.

The previous prime is 39944921. The next prime is 39944959. The reversal of 39944928 is 82944993.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39944921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174318 + ... + 174546.

It is an arithmetic number, because the mean of its divisors is an integer number (1159200).

Almost surely, 2^39944928 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 39944928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55641600).

39944928 is an abundant number, since it is smaller than the sum of its proper divisors (71338272).

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

39944928 is a wasteful number, since it uses less digits than its factorization.

39944928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 39944928 is about 6320.1999968355. The cubic root of 39944928 is about 341.8381642570.

The spelling of 39944928 in words is "thirty-nine million, nine hundred forty-four thousand, nine hundred twenty-eight".