46681128 has 96 divisors (see below), whose sum is σ = 138869640. Its totient is φ = 14077440.

The previous prime is 46681127. The next prime is 46681147. The reversal of 46681128 is 82118664.

It can be written as a sum of positive squares in 4 ways, for example, as 39162564 + 7518564 = 6258^2 + 2742^2 .

It is a super-2 number, since 2×46681128² = 4358255422704768, which contains 22 as substring.

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 = 46681092 and 46681101.

It is not an unprimeable number, because it can be changed into a prime (46681127) 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, 49138 + ... + 50078.

Almost surely, 2^46681128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46681128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69434820).

46681128 is an abundant number, since it is smaller than the sum of its proper divisors (92188512).

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

46681128 is a wasteful number, since it uses less digits than its factorization.

46681128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1012 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 46681128 is about 6832.3588898711. The cubic root of 46681128 is about 360.0646180304.

The spelling of 46681128 in words is "forty-six million, six hundred eighty-one thousand, one hundred twenty-eight".