633315328 has 56 divisors (see below), whose sum is σ = 1281216132. Its totient is φ = 312999936.

The previous prime is 633315323. The next prime is 633315329. The reversal of 633315328 is 823513336.

It can be written as a sum of positive squares in 2 ways, for example, as 632623104 + 692224 = 25152^2 + 832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 633315293 and 633315302.

It is not an unprimeable number, because it can be changed into a prime (633315323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 794226 + ... + 795022.

Almost surely, 2^633315328 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 633315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640608066).

633315328 is an abundant number, since it is smaller than the sum of its proper divisors (647900804).

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

633315328 is an frugal number, since it uses more digits than its factorization.

633315328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 896 counting only the distinct ones).

The product of its digits is 38880, while the sum is 34.

The square root of 633315328 is about 25165.7570519943. The cubic root of 633315328 is about 858.7630170206.

The spelling of 633315328 in words is "six hundred thirty-three million, three hundred fifteen thousand, three hundred twenty-eight".