83758528 has 112 divisors (see below), whose sum is σ = 202614784. Its totient is φ = 33592320.

The previous prime is 83758489. The next prime is 83758529. The reversal of 83758528 is 82585738.

It is a tau number, because it is divible by the number of its divisors (112).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 83758528 = 162³ + 430³ = 240³ + 412³.

Its product of digits (537600) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83758529) 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 15 ways as a sum of consecutive naturals, for example, 513775 + ... + 513937.

Almost surely, 2^83758528 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 83758528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101307392).

83758528 is an abundant number, since it is smaller than the sum of its proper divisors (118856256).

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

83758528 is a wasteful number, since it uses less digits than its factorization.

83758528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its digits is 537600, while the sum is 46.

The square root of 83758528 is about 9151.9685314144. The cubic root of 83758528 is about 437.5318559661.

The spelling of 83758528 in words is "eighty-three million, seven hundred fifty-eight thousand, five hundred twenty-eight".