83628 has 36 divisors (see below), whose sum is σ = 222768. Its totient is φ = 26400.

The previous prime is 83621. The next prime is 83639. The reversal of 83628 is 82638.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778 + ... + 878.

It is an arithmetic number, because the mean of its divisors is an integer number (6188).

2⁸³⁶²⁸ 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 83628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384).

83628 is an abundant number, since it is smaller than the sum of its proper divisors (139140).

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

83628 is a wasteful number, since it uses less digits than its factorization.

83628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 83628 is about 289.1850618549. The cubic root of 83628 is about 43.7304456832.

Subtracting from 83628 its reverse (82638), we obtain a triangular number (990 = T₄₄).

The spelling of 83628 in words is "eighty-three thousand, six hundred twenty-eight".