983628 has 36 divisors (see below), whose sum is σ = 2522520. Its totient is φ = 323136.

The previous prime is 983617. The next prime is 983659. The reversal of 983628 is 826389.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 9⁶ + 8⁴ + 6⁵ + 3¹¹ + 2¹⁰ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 983592 and 983601.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 983628.

It is an unprimeable number.

983628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3051 + ... + 3357.

It is an arithmetic number, because the mean of its divisors is an integer number (70070).

2⁹⁸³⁶²⁸ 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 983628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261260).

983628 is an abundant number, since it is smaller than the sum of its proper divisors (1538892).

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

983628 is a wasteful number, since it uses less digits than its factorization.

983628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 401 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 983628 is about 991.7802175886. The cubic root of 983628 is about 99.4512610299.

The spelling of 983628 in words is "nine hundred eighty-three thousand, six hundred twenty-eight".