83528520 has 64 divisors (see below), whose sum is σ = 254715840. Its totient is φ = 21907200.

The previous prime is 83528413. The next prime is 83528551. The reversal of 83528520 is 2582538.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1615 + ... + 13025.

It is an arithmetic number, because the mean of its divisors is an integer number (3979935).

Almost surely, 2^83528520 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 83528520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127357920).

83528520 is an abundant number, since it is smaller than the sum of its proper divisors (171187320).

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

83528520 is a wasteful number, since it uses less digits than its factorization.

83528520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11486 (or 11482 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 83528520 is about 9139.3938529861. The cubic root of 83528520 is about 437.1309889798.

It can be divided in two parts, 83528 and 520, that added together give a palindrome (84048).

The spelling of 83528520 in words is "eighty-three million, five hundred twenty-eight thousand, five hundred twenty".