39949728 has 192 divisors, whose sum is σ = 137168640. Its totient is φ = 9879552.

The previous prime is 39949727. The next prime is 39949729. The reversal of 39949728 is 82794993.

It is an interprime number because it is at equal distance from previous prime (39949727) and next prime (39949729).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (39949727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148378 + ... + 148646.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 2^39949728 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 39949728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

39949728 is an abundant number, since it is smaller than the sum of its proper divisors (97218912).

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

39949728 is a wasteful number, since it uses less digits than its factorization.

39949728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 39949728 is about 6320.5797202472. The cubic root of 39949728 is about 341.8518560868.

The spelling of 39949728 in words is "thirty-nine million, nine hundred forty-nine thousand, seven hundred twenty-eight".