1328053200 has 120 divisors (see below), whose sum is σ = 4308355200. Its totient is φ = 349639680.

The previous prime is 1328053193. The next prime is 1328053217. The reversal of 1328053200 is 23508231.

1328053200 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87796 + ... + 101804.

It is an arithmetic number, because the mean of its divisors is an integer number (35902960).

Almost surely, 2^1328053200 is an apocalyptic number.

1328053200 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 1328053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154177600).

1328053200 is an abundant number, since it is smaller than the sum of its proper divisors (2980302000).

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

1328053200 is a wasteful number, since it uses less digits than its factorization.

1328053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14109 (or 14098 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1328053200 is about 36442.4642415960. The cubic root of 1328053200 is about 1099.1876095338.

The spelling of 1328053200 in words is "one billion, three hundred twenty-eight million, fifty-three thousand, two hundred".