46585728 has 192 divisors, whose sum is σ = 157528800. Its totient is φ = 12939264.

The previous prime is 46585723. The next prime is 46585757. The reversal of 46585728 is 82758564.

46585728 is a `hidden beast` number, since 46 + 585 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46585723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427338 + ... + 427446.

Almost surely, 2^46585728 is an apocalyptic number.

46585728 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 46585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78764400).

46585728 is an abundant number, since it is smaller than the sum of its proper divisors (110943072).

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

46585728 is a wasteful number, since it uses less digits than its factorization.

46585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 46585728 is about 6825.3738359155. The cubic root of 46585728 is about 359.8191684410.

The spelling of 46585728 in words is "forty-six million, five hundred eighty-five thousand, seven hundred twenty-eight".