39528960 has 80 divisors (see below), whose sum is σ = 126393696. Its totient is φ = 10539008.

The previous prime is 39528917. The next prime is 39528971. The reversal of 39528960 is 6982593.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5107 + ... + 10253.

Almost surely, 2^39528960 is an apocalyptic number.

39528960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63196848).

39528960 is an abundant number, since it is smaller than the sum of its proper divisors (86864736).

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

39528960 is an equidigital number, since it uses as much as digits as its factorization.

39528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 39528960 is about 6287.2060567473. The cubic root of 39528960 is about 340.6474399267.

The spelling of 39528960 in words is "thirty-nine million, five hundred twenty-eight thousand, nine hundred sixty".