46085328 has 80 divisors (see below), whose sum is σ = 133652160. Its totient is φ = 15202944.

The previous prime is 46085327. The next prime is 46085339. The reversal of 46085328 is 82358064.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46085292 and 46085301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46085327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45726 + ... + 46722.

It is an arithmetic number, because the mean of its divisors is an integer number (1670652).

Almost surely, 2^46085328 is an apocalyptic number.

46085328 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 46085328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66826080).

46085328 is an abundant number, since it is smaller than the sum of its proper divisors (87566832).

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

46085328 is a wasteful number, since it uses less digits than its factorization.

46085328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 46085328 is about 6788.6175323110. The cubic root of 46085328 is about 358.5261968567.

The spelling of 46085328 in words is "forty-six million, eighty-five thousand, three hundred twenty-eight".