980928 has 84 divisors (see below), whose sum is σ = 3051048. Its totient is φ = 299520.

The previous prime is 980921. The next prime is 980957. The reversal of 980928 is 829089.

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

It is a junction number, because it is equal to n+sod(n) for n = 980892 and 980901.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 980928.

It is not an unprimeable number, because it can be changed into a prime (980921) 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, 7423 + ... + 7553.

It is an arithmetic number, because the mean of its divisors is an integer number (36322).

2⁹⁸⁰⁹²⁸ 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 980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525524).

980928 is an abundant number, since it is smaller than the sum of its proper divisors (2070120).

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

980928 is a wasteful number, since it uses less digits than its factorization.

980928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 980928 is about 990.4180935342. The cubic root of 980928 is about 99.3601817231.

The spelling of 980928 in words is "nine hundred eighty thousand, nine hundred twenty-eight".