46832128 has 80 divisors (see below), whose sum is σ = 109010880. Its totient is φ = 19685376.

The previous prime is 46832119. The next prime is 46832167. The reversal of 46832128 is 82123864.

It is a junction number, because it is equal to n+sod(n) for n = 46832093 and 46832102.

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, 261543 + ... + 261721.

It is an arithmetic number, because the mean of its divisors is an integer number (1362636).

Almost surely, 2^46832128 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 46832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54505440).

46832128 is an abundant number, since it is smaller than the sum of its proper divisors (62178752).

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

46832128 is an equidigital number, since it uses as much as digits as its factorization.

46832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 46832128 is about 6843.4003244001. The cubic root of 46832128 is about 360.4524352724.

The spelling of 46832128 in words is "forty-six million, eight hundred thirty-two thousand, one hundred twenty-eight".