632928 has 48 divisors (see below), whose sum is σ = 1753920. Its totient is φ = 199296.

The previous prime is 632923. The next prime is 632939. The reversal of 632928 is 829236.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 632895 and 632904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632923) by changing a digit.

632928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1651 + ... + 1997.

It is an arithmetic number, because the mean of its divisors is an integer number (36540).

2⁶³²⁹²⁸ 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 632928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876960).

632928 is an abundant number, since it is smaller than the sum of its proper divisors (1120992).

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

632928 is a wasteful number, since it uses less digits than its factorization.

632928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 632928 is about 795.5677218188. The cubic root of 632928 is about 85.8587911624.

The spelling of 632928 in words is "six hundred thirty-two thousand, nine hundred twenty-eight".