920928 has 48 divisors (see below), whose sum is σ = 2476656. Its totient is φ = 299520.

The previous prime is 920921. The next prime is 920947. The reversal of 920928 is 829029.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 920895 and 920904.

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 920928.

It is not an unprimeable number, because it can be changed into a prime (920921) by changing a digit.

920928 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 7 ways as a sum of consecutive naturals, for example, 4998 + ... + 5178.

It is an arithmetic number, because the mean of its divisors is an integer number (51597).

2⁹²⁰⁹²⁸ 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 920928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328).

920928 is an abundant number, since it is smaller than the sum of its proper divisors (1555728).

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

920928 is a wasteful number, since it uses less digits than its factorization.

920928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 920928 is about 959.6499361746. The cubic root of 920928 is about 97.2915731701.

The spelling of 920928 in words is "nine hundred twenty thousand, nine hundred twenty-eight".