1328268480 has 672 divisors, whose sum is σ = 5704100352. Its totient is φ = 258048000.

The previous prime is 1328268467. The next prime is 1328268493. The reversal of 1328268480 is 848628231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1328268467) and next prime (1328268493).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8796405 + ... + 8796555.

Almost surely, 2^1328268480 is an apocalyptic number.

1328268480 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 1328268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852050176).

1328268480 is an abundant number, since it is smaller than the sum of its proper divisors (4375831872).

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

1328268480 is a wasteful number, since it uses less digits than its factorization.

1328268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 1328268480 is about 36445.4178189797. The cubic root of 1328268480 is about 1099.2469998061.

The spelling of 1328268480 in words is "one billion, three hundred twenty-eight million, two hundred sixty-eight thousand, four hundred eighty".