46768128 has 112 divisors (see below), whose sum is σ = 136830816. Its totient is φ = 14090240.

The previous prime is 46768121. The next prime is 46768153. The reversal of 46768128 is 82186764.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46768128.

It is not an unprimeable number, because it can be changed into a prime (46768121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270250 + ... + 270422.

Almost surely, 2^46768128 is an apocalyptic number.

46768128 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 46768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68415408).

46768128 is an abundant number, since it is smaller than the sum of its proper divisors (90062688).

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

46768128 is a wasteful number, since it uses less digits than its factorization.

46768128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 46768128 is about 6838.7226877539. The cubic root of 46768128 is about 360.2881643372.

The spelling of 46768128 in words is "forty-six million, seven hundred sixty-eight thousand, one hundred twenty-eight".