39442128 has 60 divisors (see below), whose sum is σ = 112013664. Its totient is φ = 11950400.

The previous prime is 39442127. The next prime is 39442129. The reversal of 39442128 is 82124493.

39442128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39442127) and next prime (39442129).

It is a super-2 number, since 2×39442128² = 3111362922336768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39442127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2413 + ... + 9203.

Almost surely, 2^39442128 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 39442128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56006832).

39442128 is an abundant number, since it is smaller than the sum of its proper divisors (72571536).

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

39442128 is a wasteful number, since it uses less digits than its factorization.

39442128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6824 (or 6807 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 39442128 is about 6280.2968082727. The cubic root of 39442128 is about 340.3978272928.

The spelling of 39442128 in words is "thirty-nine million, four hundred forty-two thousand, one hundred twenty-eight".