1330057728 has 120 divisors (see below), whose sum is σ = 3962889216. Its totient is φ = 429004800.

The previous prime is 1330057691. The next prime is 1330057733. The reversal of 1330057728 is 8277500331.

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 = 1330057692 and 1330057701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138193 + ... + 147503.

Almost surely, 2^1330057728 is an apocalyptic number.

1330057728 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 1330057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981444608).

1330057728 is an abundant number, since it is smaller than the sum of its proper divisors (2632831488).

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

1330057728 is an equidigital number, since it uses as much as digits as its factorization.

1330057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1330057728 is about 36469.9565121759. The cubic root of 1330057728 is about 1099.7403596568.

The spelling of 1330057728 in words is "one billion, three hundred thirty million, fifty-seven thousand, seven hundred twenty-eight".