46616328 has 96 divisors (see below), whose sum is σ = 139838400. Its totient is φ = 13910400.

The previous prime is 46616299. The next prime is 46616341. The reversal of 46616328 is 82361664.

46616328 is a `hidden beast` number, since 4 + 6 + 616 + 32 + 8 = 666.

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 = 46616292 and 46616301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55818 + ... + 56646.

It is an arithmetic number, because the mean of its divisors is an integer number (1456650).

Almost surely, 2^46616328 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 46616328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69919200).

46616328 is an abundant number, since it is smaller than the sum of its proper divisors (93222072).

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

46616328 is a wasteful number, since it uses less digits than its factorization.

46616328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 916 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 46616328 is about 6827.6151033871. The cubic root of 46616328 is about 359.8979340283.

The spelling of 46616328 in words is "forty-six million, six hundred sixteen thousand, three hundred twenty-eight".