1330172928 has 440 divisors, whose sum is σ = 4755590400. Its totient is φ = 362299392.

The previous prime is 1330172917. The next prime is 1330172951. The reversal of 1330172928 is 8292710331.

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 = 1330172892 and 1330172901.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 16837593 + ... + 16837671.

It is an arithmetic number, because the mean of its divisors is an integer number (10808160).

Almost surely, 2^1330172928 is an apocalyptic number.

1330172928 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 1330172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377795200).

1330172928 is an abundant number, since it is smaller than the sum of its proper divisors (3425417472).

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

1330172928 is an equidigital number, since it uses as much as digits as its factorization.

1330172928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

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

The square root of 1330172928 is about 36471.5358601746. The cubic root of 1330172928 is about 1099.7721092642.

The spelling of 1330172928 in words is "one billion, three hundred thirty million, one hundred seventy-two thousand, nine hundred twenty-eight".