1328878000 has 160 divisors (see below), whose sum is σ = 3346357248. Its totient is φ = 510048000.

The previous prime is 1328877997. The next prime is 1328878003. The reversal of 1328878000 is 8788231.

It is an interprime number because it is at equal distance from previous prime (1328877997) and next prime (1328878003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328878003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6297895 + ... + 6298105.

Almost surely, 2^1328878000 is an apocalyptic number.

1328878000 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 1328878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673178624).

1328878000 is an abundant number, since it is smaller than the sum of its proper divisors (2017479248).

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

1328878000 is a wasteful number, since it uses less digits than its factorization.

1328878000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 1328878000 is about 36453.7789536284. The cubic root of 1328878000 is about 1099.4151160622.

The spelling of 1328878000 in words is "one billion, three hundred twenty-eight million, eight hundred seventy-eight thousand".