1328623296 has 448 divisors, whose sum is σ = 4893966336. Its totient is φ = 306892800.

The previous prime is 1328623243. The next prime is 1328623297. The reversal of 1328623296 is 6923268231.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1328623297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5957841 + ... + 5958063.

It is an arithmetic number, because the mean of its divisors is an integer number (10924032).

Almost surely, 2^1328623296 is an apocalyptic number.

1328623296 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 1328623296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446983168).

1328623296 is an abundant number, since it is smaller than the sum of its proper divisors (3565343040).

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

1328623296 is a wasteful number, since it uses less digits than its factorization.

1328623296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 1328623296 is about 36450.2852663734. The cubic root of 1328623296 is about 1099.3448705066.

The spelling of 1328623296 in words is "one billion, three hundred twenty-eight million, six hundred twenty-three thousand, two hundred ninety-six".