47633047728 has 640 divisors, whose sum is σ = 164046643200. Its totient is φ = 11584290816.

The previous prime is 47633047661. The next prime is 47633047733. The reversal of 47633047728 is 82774033674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 275335450 + ... + 275335622.

It is an arithmetic number, because the mean of its divisors is an integer number (256322880).

Almost surely, 2^47633047728 is an apocalyptic number.

47633047728 is a gapful number since it is divisible by the number (48) 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 47633047728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82023321600).

47633047728 is an abundant number, since it is smaller than the sum of its proper divisors (116413595472).

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

47633047728 is a wasteful number, since it uses less digits than its factorization.

47633047728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 51.

The spelling of 47633047728 in words is "forty-seven billion, six hundred thirty-three million, forty-seven thousand, seven hundred twenty-eight".