47828630720 has 224 divisors, whose sum is σ = 125390989248. Its totient is φ = 17269604352.

The previous prime is 47828630719. The next prime is 47828630771. The reversal of 47828630720 is 2703682874.

47828630720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43758494 + ... + 43759586.

It is an arithmetic number, because the mean of its divisors is an integer number (559781202).

Almost surely, 2^47828630720 is an apocalyptic number.

47828630720 is a gapful number since it is divisible by the number (40) 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 47828630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62695494624).

47828630720 is an abundant number, since it is smaller than the sum of its proper divisors (77562358528).

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

47828630720 is a wasteful number, since it uses less digits than its factorization.

47828630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 47828630720 in words is "forty-seven billion, eight hundred twenty-eight million, six hundred thirty thousand, seven hundred twenty".