928368 has 80 divisors (see below), whose sum is σ = 3055360. Its totient is φ = 264384.

The previous prime is 928351. The next prime is 928399. The reversal of 928368 is 863829.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

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 928368.

It is an unprimeable number.

928368 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 15 ways as a sum of consecutive naturals, for example, 2871 + ... + 3177.

It is an arithmetic number, because the mean of its divisors is an integer number (38192).

2⁹²⁸³⁶⁸ 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 928368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527680).

928368 is an abundant number, since it is smaller than the sum of its proper divisors (2126992).

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

928368 is a wasteful number, since it uses less digits than its factorization.

928368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

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

The square root of 928368 is about 963.5185519750. The cubic root of 928368 is about 97.5528707332.

It can be divided in two parts, 928 and 368, that added together give a 4-th power (1296 = 6⁴).

The spelling of 928368 in words is "nine hundred twenty-eight thousand, three hundred sixty-eight".