39128628 has 192 divisors, whose sum is σ = 125411328. Its totient is φ = 9185280.

The previous prime is 39128599. The next prime is 39128629. The reversal of 39128628 is 82682193.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39128629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738250 + ... + 738302.

It is an arithmetic number, because the mean of its divisors is an integer number (653184).

Almost surely, 2^39128628 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 39128628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62705664).

39128628 is an abundant number, since it is smaller than the sum of its proper divisors (86282700).

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

39128628 is a wasteful number, since it uses less digits than its factorization.

39128628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 39128628 is about 6255.2880029620. The cubic root of 39128628 is about 339.4935597420.

The spelling of 39128628 in words is "thirty-nine million, one hundred twenty-eight thousand, six hundred twenty-eight".