1461328128 has 324 divisors, whose sum is σ = 4765422480. Its totient is φ = 446404608.

The previous prime is 1461328123. The next prime is 1461328151. The reversal of 1461328128 is 8218231641.

1461328128 is a `hidden beast` number, since 1 + 4 + 613 + 28 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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 = 1461328092 and 1461328101.

It is not an unprimeable number, because it can be changed into a prime (1461328123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10513083 + ... + 10513221.

Almost surely, 2^1461328128 is an apocalyptic number.

1461328128 is a gapful number since it is divisible by the number (18) 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 1461328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382711240).

1461328128 is an abundant number, since it is smaller than the sum of its proper divisors (3304094352).

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

1461328128 is an equidigital number, since it uses as much as digits as its factorization.

1461328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 157 counting only the distinct ones).

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

The square root of 1461328128 is about 38227.3217476715. The cubic root of 1461328128 is about 1134.7910831813.

Adding to 1461328128 its reverse (8218231641), we get a palindrome (9679559769).

The spelling of 1461328128 in words is "one billion, four hundred sixty-one million, three hundred twenty-eight thousand, one hundred twenty-eight".