1328217600 has 120 divisors (see below), whose sum is σ = 4387810680. Its totient is φ = 354181120.

The previous prime is 1328217589. The next prime is 1328217613. The reversal of 1328217600 is 67128231.

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 (30).

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, 21106 + ... + 55694.

It is an arithmetic number, because the mean of its divisors is an integer number (36565089).

Almost surely, 2^1328217600 is an apocalyptic number.

1328217600 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 1328217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193905340).

1328217600 is an abundant number, since it is smaller than the sum of its proper divisors (3059593080).

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

1328217600 is an equidigital number, since it uses as much as digits as its factorization.

1328217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34620 (or 34599 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1328217600 is about 36444.7197821577. The cubic root of 1328217600 is about 1099.2329638884.

The spelling of 1328217600 in words is "one billion, three hundred twenty-eight million, two hundred seventeen thousand, six hundred".