1328918400 has 288 divisors, whose sum is σ = 4920388200. Its totient is φ = 354170880.

The previous prime is 1328918369. The next prime is 1328918413. The reversal of 1328918400 is 48198231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1328918400² = 3532048227717120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 776746 + ... + 778454.

Almost surely, 2^1328918400 is an apocalyptic number.

1328918400 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 1328918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460194100).

1328918400 is an abundant number, since it is smaller than the sum of its proper divisors (3591469800).

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

1328918400 is an equidigital number, since it uses as much as digits as its factorization.

1328918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1328918400 is about 36454.3330757813. Note that the first 3 decimals coincide. The cubic root of 1328918400 is about 1099.4262572707.

The spelling of 1328918400 in words is "one billion, three hundred twenty-eight million, nine hundred eighteen thousand, four hundred".