630115728 has 240 divisors, whose sum is σ = 1923626880. Its totient is φ = 177182720.

The previous prime is 630115711. The next prime is 630115747. The reversal of 630115728 is 827511036.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7079908 + ... + 7079996.

It is an arithmetic number, because the mean of its divisors is an integer number (8015112).

Almost surely, 2^630115728 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 630115728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961813440).

630115728 is an abundant number, since it is smaller than the sum of its proper divisors (1293511152).

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

630115728 is a wasteful number, since it uses less digits than its factorization.

630115728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 630115728 is about 25102.1060471029. The cubic root of 630115728 is about 857.3143766597.

The spelling of 630115728 in words is "six hundred thirty million, one hundred fifteen thousand, seven hundred twenty-eight".