1328017400 has 48 divisors (see below), whose sum is σ = 3106207440. Its totient is φ = 528012800.

The previous prime is 1328017393. The next prime is 1328017423. The reversal of 1328017400 is 47108231.

It is a self number, because there is not a number n which added to its sum of digits gives 1328017400.

It is a congruent number.

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, 13520 + ... + 53280.

It is an arithmetic number, because the mean of its divisors is an integer number (64712655).

Almost surely, 2^1328017400 is an apocalyptic number.

1328017400 is a gapful number since it is divisible by the number (10) 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 1328017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553103720).

1328017400 is an abundant number, since it is smaller than the sum of its proper divisors (1778190040).

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

1328017400 is a wasteful number, since it uses less digits than its factorization.

1328017400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39944 (or 39935 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1328017400 is about 36441.9730530607. The cubic root of 1328017400 is about 1099.1777326027.

The spelling of 1328017400 in words is "one billion, three hundred twenty-eight million, seventeen thousand, four hundred".