47628386128600 has 48 divisors (see below), whose sum is σ = 111127291159320. Its totient is φ = 18984035155200.

The previous prime is 47628386128577. The next prime is 47628386128601. The reversal of 47628386128600 is 682168382674.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47628386128601) 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, 420688861 + ... + 420802060.

Almost surely, 2^{47628386128600} is an apocalyptic number.

47628386128600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47628386128600 is an abundant number, since it is smaller than the sum of its proper divisors (63498905030720).

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

47628386128600 is a wasteful number, since it uses less digits than its factorization.

47628386128600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841491220 (or 841491211 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 61.

The spelling of 47628386128600 in words is "forty-seven trillion, six hundred twenty-eight billion, three hundred eighty-six million, one hundred twenty-eight thousand, six hundred".