1328052000 has 192 divisors, whose sum is σ = 4746688128. Its totient is φ = 321920000.

The previous prime is 1328051999. The next prime is 1328052029. The reversal of 1328052000 is 2508231.

It is a super-2 number, since 2×1328052000² = 3527444229408000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126970 + ... + 137030.

It is an arithmetic number, because the mean of its divisors is an integer number (24722334).

Almost surely, 2^1328052000 is an apocalyptic number.

1328052000 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 1328052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373344064).

1328052000 is an abundant number, since it is smaller than the sum of its proper divisors (3418636128).

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

1328052000 is a wasteful number, since it uses less digits than its factorization.

1328052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10082 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1328052000 is about 36442.4477772830. The cubic root of 1328052000 is about 1099.1872784664.

The spelling of 1328052000 in words is "one billion, three hundred twenty-eight million, fifty-two thousand".