46765728 has 96 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 15418368.

The previous prime is 46765721. The next prime is 46765751. The reversal of 46765728 is 82756764.

46765728 is a `hidden beast` number, since 4 + 6 + 76 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (46765721) 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 15 ways as a sum of consecutive naturals, for example, 97393 + ... + 97871.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^46765728 is an apocalyptic number.

46765728 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 46765728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

46765728 is an abundant number, since it is smaller than the sum of its proper divisors (91128672).

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

46765728 is a wasteful number, since it uses less digits than its factorization.

46765728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 46765728 is about 6838.5472141384. The cubic root of 46765728 is about 360.2820012626.

It can be divided in two parts, 4676 and 5728, that added together give a square (10404 = 102²).

The spelling of 46765728 in words is "forty-six million, seven hundred sixty-five thousand, seven hundred twenty-eight".