1928080 has 80 divisors (see below), whose sum is σ = 5606784. Its totient is φ = 599040.

The previous prime is 1928071. The next prime is 1928093. The reversal of 1928080 is 808291.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6004 + ... + 6316.

2^1928080 is an apocalyptic number.

1928080 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 1928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803392).

1928080 is an abundant number, since it is smaller than the sum of its proper divisors (3678704).

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

1928080 is a wasteful number, since it uses less digits than its factorization.

1928080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1928080 is about 1388.5532038781. The cubic root of 1928080 is about 124.4634065021.

The spelling of 1928080 in words is "one million, nine hundred twenty-eight thousand, eighty".