1328825952 has 192 divisors, whose sum is σ = 4149734400. Its totient is φ = 412439040.

The previous prime is 1328825951. The next prime is 1328825959. The reversal of 1328825952 is 2595288231.

It is a junction number, because it is equal to n+sod(n) for n = 1328825898 and 1328825907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328825951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000713 + ... + 1002039.

It is an arithmetic number, because the mean of its divisors is an integer number (21613200).

Almost surely, 2^1328825952 is an apocalyptic number.

1328825952 is a gapful number since it is divisible by the number (12) 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 1328825952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074867200).

1328825952 is an abundant number, since it is smaller than the sum of its proper divisors (2820908448).

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

1328825952 is a wasteful number, since it uses less digits than its factorization.

1328825952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1412 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1328825952 is about 36453.0650563159. The cubic root of 1328825952 is about 1099.4007623229.

The spelling of 1328825952 in words is "one billion, three hundred twenty-eight million, eight hundred twenty-five thousand, nine hundred fifty-two".