47280828000 has 768 divisors, whose sum is σ = 186141376512. Its totient is φ = 10264320000.

The previous prime is 47280827987. The next prime is 47280828011. The reversal of 47280828000 is 82808274.

It is a self number, because there is not a number n which added to its sum of digits gives 47280828000.

It is a congruent number.

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, 174467865 + ... + 174468135.

It is an arithmetic number, because the mean of its divisors is an integer number (242371584).

Almost surely, 2^47280828000 is an apocalyptic number.

47280828000 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 47280828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93070688256).

47280828000 is an abundant number, since it is smaller than the sum of its proper divisors (138860548512).

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

47280828000 is a wasteful number, since it uses less digits than its factorization.

47280828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 47280828000 in words is "forty-seven billion, two hundred eighty million, eight hundred twenty-eight thousand".