630217728 has 132 divisors (see below), whose sum is σ = 2079915760. Its totient is φ = 180043776.

The previous prime is 630217723. The next prime is 630217729. The reversal of 630217728 is 827712036.

630217728 is a `hidden beast` number, since 630 + 2 + 17 + 7 + 2 + 8 = 666.

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 = 630217692 and 630217701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630217723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59628 + ... + 69396.

Almost surely, 2^630217728 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 630217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039957880).

630217728 is an abundant number, since it is smaller than the sum of its proper divisors (1449698032).

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

630217728 is a wasteful number, since it uses less digits than its factorization.

630217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9802 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 630217728 is about 25104.1376669265. The cubic root of 630217728 is about 857.3606334263.

The spelling of 630217728 in words is "six hundred thirty million, two hundred seventeen thousand, seven hundred twenty-eight".