1928000 has 56 divisors (see below), whose sum is σ = 4794504. Its totient is φ = 768000.

The previous prime is 1927997. The next prime is 1928011. The reversal of 1928000 is 8291.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 1915456 = 112^2 + 1384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7880 + ... + 8120.

2^1928000 is an apocalyptic number.

1928000 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 1928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397252).

1928000 is an abundant number, since it is smaller than the sum of its proper divisors (2866504).

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

1928000 is an equidigital number, since it uses as much as digits as its factorization.

1928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1928000 is about 1388.5243966168. The cubic root of 1928000 is about 124.4616850641.

It can be divided in two parts, 192 and 8000, that added together give a 13-th power (8192 = 2¹³).

The spelling of 1928000 in words is "one million, nine hundred twenty-eight thousand".