1328645376 has 288 divisors, whose sum is σ = 4225356800. Its totient is φ = 410572800.

The previous prime is 1328645369. The next prime is 1328645377. The reversal of 1328645376 is 6735468231.

1328645376 is a `hidden beast` number, since 1 + 32 + 86 + 4 + 537 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328645377) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8798901 + ... + 8799051.

Almost surely, 2^1328645376 is an apocalyptic number.

1328645376 is a gapful number since it is divisible by the number (16) 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 1328645376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112678400).

1328645376 is an abundant number, since it is smaller than the sum of its proper divisors (2896711424).

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

1328645376 is a wasteful number, since it uses less digits than its factorization.

1328645376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1328645376 is about 36450.5881434031. The cubic root of 1328645376 is about 1099.3509603692.

The spelling of 1328645376 in words is "one billion, three hundred twenty-eight million, six hundred forty-five thousand, three hundred seventy-six".