1304290728 has 256 divisors, whose sum is σ = 4191264000. Its totient is φ = 372252672.

The previous prime is 1304290717. The next prime is 1304290759. The reversal of 1304290728 is 8270924031.

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

It is a junction number, because it is equal to n+sod(n) for n = 1304290692 and 1304290701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4248351 + ... + 4248657.

It is an arithmetic number, because the mean of its divisors is an integer number (16372125).

Almost surely, 2^1304290728 is an apocalyptic number.

1304290728 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 1304290728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095632000).

1304290728 is an abundant number, since it is smaller than the sum of its proper divisors (2886973272).

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

1304290728 is a wasteful number, since it uses less digits than its factorization.

1304290728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1304290728 is about 36114.9654298602. The cubic root of 1304290728 is about 1092.5923003425.

The spelling of 1304290728 in words is "one billion, three hundred four million, two hundred ninety thousand, seven hundred twenty-eight".