39472128 has 66 divisors (see below), whose sum is σ = 114001524. Its totient is φ = 13154304.

The previous prime is 39472109. The next prime is 39472129. The reversal of 39472128 is 82127493.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39472092 and 39472101.

It is not an unprimeable number, because it can be changed into a prime (39472129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7075 + ... + 11357.

Almost surely, 2^39472128 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 39472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57000762).

39472128 is an abundant number, since it is smaller than the sum of its proper divisors (74529396).

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

39472128 is a wasteful number, since it uses less digits than its factorization.

39472128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4288 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 39472128 is about 6282.6847764312. The cubic root of 39472128 is about 340.4841085301.

The spelling of 39472128 in words is "thirty-nine million, four hundred seventy-two thousand, one hundred twenty-eight".