46531128 has 128 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 12673920.

The previous prime is 46531127. The next prime is 46531129. The reversal of 46531128 is 82113564.

It is an interprime number because it is at equal distance from previous prime (46531127) and next prime (46531129).

It is a junction number, because it is equal to n+sod(n) for n = 46531095 and 46531104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46531127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560575 + ... + 560657.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^46531128 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 46531128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

46531128 is an abundant number, since it is smaller than the sum of its proper divisors (92814792).

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

46531128 is a wasteful number, since it uses less digits than its factorization.

46531128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 46531128 is about 6821.3728823456. The cubic root of 46531128 is about 359.6785402004.

The spelling of 46531128 in words is "forty-six million, five hundred thirty-one thousand, one hundred twenty-eight".