1928736 has 72 divisors (see below), whose sum is σ = 5664204. Its totient is φ = 622080.

The previous prime is 1928687. The next prime is 1928741. The reversal of 1928736 is 6378291.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 24336 = 1380^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1928736.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10566 + ... + 10746.

2^1928736 is an apocalyptic number.

1928736 is a gapful number since it is divisible by the number (16) 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 1928736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832102).

1928736 is an abundant number, since it is smaller than the sum of its proper divisors (3735468).

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

1928736 is a wasteful number, since it uses less digits than its factorization.

1928736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1928736 is about 1388.7894008812. The cubic root of 1928736 is about 124.4775204974.

The spelling of 1928736 in words is "one million, nine hundred twenty-eight thousand, seven hundred thirty-six".