46447128 has 256 divisors, whose sum is σ = 169344000. Its totient is φ = 11446272.

The previous prime is 46447123. The next prime is 46447171. The reversal of 46447128 is 82174464.

46447128 is a `hidden beast` number, since 4 + 644 + 7 + 1 + 2 + 8 = 666.

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 = 46447092 and 46447101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46447123) 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 63 ways as a sum of consecutive naturals, for example, 334083 + ... + 334221.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 2^46447128 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 46447128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

46447128 is an abundant number, since it is smaller than the sum of its proper divisors (122896872).

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

46447128 is a wasteful number, since it uses less digits than its factorization.

46447128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 46447128 is about 6815.2129827321. The cubic root of 46447128 is about 359.4619740898.

The spelling of 46447128 in words is "forty-six million, four hundred forty-seven thousand, one hundred twenty-eight".