46081728 has 168 divisors, whose sum is σ = 164835840. Its totient is φ = 11957760.

The previous prime is 46081723. The next prime is 46081733. The reversal of 46081728 is 82718064.

46081728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46081723) and next prime (46081733).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 46081692 and 46081701.

It is not an unprimeable number, because it can be changed into a prime (46081723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43833 + ... + 44871.

Almost surely, 2^46081728 is an apocalyptic number.

46081728 is a gapful number since it is divisible by the number (48) 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 46081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82417920).

46081728 is an abundant number, since it is smaller than the sum of its proper divisors (118754112).

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

46081728 is a wasteful number, since it uses less digits than its factorization.

46081728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 46081728 is about 6788.3523774182. The cubic root of 46081728 is about 358.5168610733.

It can be divided in two parts, 4608 and 1728, that multiplied together give a 5-th power (7962624 = 24⁵).

The spelling of 46081728 in words is "forty-six million, eighty-one thousand, seven hundred twenty-eight".