1928320 has 64 divisors (see below), whose sum is σ = 4847040. Its totient is φ = 732160.

The previous prime is 1928317. The next prime is 1928321. The reversal of 1928320 is 238291.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1928321) 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, 14655 + ... + 14785.

It is an arithmetic number, because the mean of its divisors is an integer number (75735).

2^1928320 is an apocalyptic number.

1928320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423520).

1928320 is an abundant number, since it is smaller than the sum of its proper divisors (2918720).

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

1928320 is a wasteful number, since it uses less digits than its factorization.

1928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1928320 is about 1388.6396220762. The cubic root of 1928320 is about 124.4685705302.

The spelling of 1928320 in words is "one million, nine hundred twenty-eight thousand, three hundred twenty".