46711728 has 200 divisors, whose sum is σ = 163243520. Its totient is φ = 12597120.

The previous prime is 46711711. The next prime is 46711741. The reversal of 46711728 is 82711764.

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 = 46711692 and 46711701.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 172233 + ... + 172503.

Almost surely, 2^46711728 is an apocalyptic number.

46711728 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 46711728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81621760).

46711728 is an abundant number, since it is smaller than the sum of its proper divisors (116531792).

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

46711728 is a wasteful number, since it uses less digits than its factorization.

46711728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 46711728 is about 6834.5978667366. The cubic root of 46711728 is about 360.1432763033.

Adding to 46711728 its sum of digits (36), we get a palindrome (46711764).

The spelling of 46711728 in words is "forty-six million, seven hundred eleven thousand, seven hundred twenty-eight".