39138528 has 96 divisors (see below), whose sum is σ = 120742272. Its totient is φ = 10944000.

The previous prime is 39138527. The next prime is 39138553. The reversal of 39138528 is 82583193.

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 (39).

Its product of digits (51840) is a multiple of the sum of its prime divisors (2880).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39138527) 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 15 ways as a sum of consecutive naturals, for example, 12303 + ... + 15153.

It is an arithmetic number, because the mean of its divisors is an integer number (1257732).

Almost surely, 2^39138528 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 39138528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60371136).

39138528 is an abundant number, since it is smaller than the sum of its proper divisors (81603744).

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

39138528 is a wasteful number, since it uses less digits than its factorization.

39138528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2880 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 39138528 is about 6256.0792833851. The cubic root of 39138528 is about 339.5221892732.

The spelling of 39138528 in words is "thirty-nine million, one hundred thirty-eight thousand, five hundred twenty-eight".