83633528 has 32 divisors (see below), whose sum is σ = 172748160. Its totient is φ = 37642080.

The previous prime is 83633521. The next prime is 83633569. The reversal of 83633528 is 82533638.

It is a junction number, because it is equal to n+sod(n) for n = 83633491 and 83633500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83633521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4451 + ... + 13677.

It is an arithmetic number, because the mean of its divisors is an integer number (5398380).

Almost surely, 2^83633528 is an apocalyptic number.

83633528 is a gapful number since it is divisible by the number (88) 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 83633528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86374080).

83633528 is an abundant number, since it is smaller than the sum of its proper divisors (89114632).

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

83633528 is a wasteful number, since it uses less digits than its factorization.

83633528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347 (or 9343 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 83633528 is about 9145.1368497142. The cubic root of 83633528 is about 437.3140922239.

The spelling of 83633528 in words is "eighty-three million, six hundred thirty-three thousand, five hundred twenty-eight".