632008728 has 96 divisors (see below), whose sum is σ = 1951840800. Its totient is φ = 183020544.

The previous prime is 632008709. The next prime is 632008733. The reversal of 632008728 is 827800236.

It is a happy number.

It is a super-3 number, since 3×632008728³ (a number of 27 digits) contains 333 as substring.

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 = 632008692 and 632008701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3948 + ... + 35771.

It is an arithmetic number, because the mean of its divisors is an integer number (20331675).

Almost surely, 2^632008728 is an apocalyptic number.

632008728 is a gapful number since it is divisible by the number (68) 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 632008728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975920400).

632008728 is an abundant number, since it is smaller than the sum of its proper divisors (1319832072).

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

632008728 is a wasteful number, since it uses less digits than its factorization.

632008728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39761 (or 39754 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 632008728 is about 25139.7837699532. The cubic root of 632008728 is about 858.1720358570.

The spelling of 632008728 in words is "six hundred thirty-two million, eight thousand, seven hundred twenty-eight".