1928480 has 48 divisors (see below), whose sum is σ = 4830840. Its totient is φ = 724992.

The previous prime is 1928473. The next prime is 1928489. The reversal of 1928480 is 848291.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1449616 + 478864 = 1204^2 + 692^2 .

It is a super-2 number, since 2×1928480² = 7438070220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928489) 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, 2366 + ... + 3074.

2^1928480 is an apocalyptic number.

1928480 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 1928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415420).

1928480 is an abundant number, since it is smaller than the sum of its proper divisors (2902360).

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

1928480 is a wasteful number, since it uses less digits than its factorization.

1928480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1928480 is about 1388.6972312207. The cubic root of 1928480 is about 124.4720129776.

The spelling of 1928480 in words is "one million, nine hundred twenty-eight thousand, four hundred eighty".