461188728 has 448 divisors, whose sum is σ = 1762790400. Its totient is φ = 109175040.

The previous prime is 461188727. The next prime is 461188771. The reversal of 461188728 is 827881164.

461188728 is a `hidden beast` number, since 4 + 611 + 8 + 8 + 7 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461188727) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5837793 + ... + 5837871.

It is an arithmetic number, because the mean of its divisors is an integer number (3934800).

Almost surely, 2^461188728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461188728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881395200).

461188728 is an abundant number, since it is smaller than the sum of its proper divisors (1301601672).

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

461188728 is a wasteful number, since it uses less digits than its factorization.

461188728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 461188728 is about 21475.3050735024. The cubic root of 461188728 is about 772.6086415212.

It can be divided in two parts, 4611 and 88728, that added together give a palindrome (93339).

The spelling of 461188728 in words is "four hundred sixty-one million, one hundred eighty-eight thousand, seven hundred twenty-eight".