1304928 has 72 divisors (see below), whose sum is σ = 3891888. Its totient is φ = 413952.

The previous prime is 1304923. The next prime is 1304929. The reversal of 1304928 is 8294031.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6526 + ... + 6722.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

2^1304928 is an apocalyptic number.

1304928 is a gapful number since it is divisible by the number (18) 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 1304928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945944).

1304928 is an abundant number, since it is smaller than the sum of its proper divisors (2586960).

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

1304928 is a wasteful number, since it uses less digits than its factorization.

1304928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1304928 is about 1142.3344519010. The cubic root of 1304928 is about 109.2770216993.

Adding to 1304928 its reverse (8294031), we get a palindrome (9598959).

The spelling of 1304928 in words is "one million, three hundred four thousand, nine hundred twenty-eight".