4631328 has 72 divisors (see below), whose sum is σ = 14194908. Its totient is φ = 1423872.

The previous prime is 4631311. The next prime is 4631351. The reversal of 4631328 is 8231364.

It is a happy number.

4631328 is a `hidden beast` number, since 4 + 631 + 3 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 17424 = 2148^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3126 + ... + 4362.

Almost surely, 2^4631328 is an apocalyptic number.

4631328 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 4631328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097454).

4631328 is an abundant number, since it is smaller than the sum of its proper divisors (9563580).

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

4631328 is a wasteful number, since it uses less digits than its factorization.

4631328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1255 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4631328 is about 2152.0520439803. The cubic root of 4631328 is about 166.6870446194.

The spelling of 4631328 in words is "four million, six hundred thirty-one thousand, three hundred twenty-eight".