928408 has 32 divisors (see below), whose sum is σ = 1915200. Its totient is φ = 419328.

The previous prime is 928399. The next prime is 928409. The reversal of 928408 is 804829.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 928408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928409) 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, 8160 + ... + 8272.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

2⁹²⁸⁴⁰⁸ 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 928408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957600).

928408 is an abundant number, since it is smaller than the sum of its proper divisors (986792).

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

928408 is a wasteful number, since it uses less digits than its factorization.

928408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 928408 is about 963.5393090061. The cubic root of 928408 is about 97.5542717792.

The spelling of 928408 in words is "nine hundred twenty-eight thousand, four hundred eight".