1328461128 has 32 divisors (see below), whose sum is σ = 3690170400. Its totient is φ = 442820304.

The previous prime is 1328461097. The next prime is 1328461139. The reversal of 1328461128 is 8211648231.

1328461128 is a `hidden beast` number, since 1 + 32 + 8 + 4 + 611 + 2 + 8 = 666.

1328461128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1328461092 and 1328461101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3074926 + ... + 3075357.

It is an arithmetic number, because the mean of its divisors is an integer number (115317825).

Almost surely, 2^1328461128 is an apocalyptic number.

1328461128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1328461128 is an abundant number, since it is smaller than the sum of its proper divisors (2361709272).

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

1328461128 is a wasteful number, since it uses less digits than its factorization.

1328461128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150298 (or 6150288 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1328461128 is about 36448.0606891505. The cubic root of 1328461128 is about 1099.3001410453.

The spelling of 1328461128 in words is "one billion, three hundred twenty-eight million, four hundred sixty-one thousand, one hundred twenty-eight".