47772828000 has 768 divisors, whose sum is σ = 181552250880. Its totient is φ = 12345177600.

The previous prime is 47772827959. The next prime is 47772828023. The reversal of 47772828000 is 82827774.

47772828000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 376163937 + ... + 376164063.

It is an arithmetic number, because the mean of its divisors is an integer number (236396160).

Almost surely, 2^47772828000 is an apocalyptic number.

47772828000 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 47772828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90776125440).

47772828000 is an abundant number, since it is smaller than the sum of its proper divisors (133779422880).

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

47772828000 is an equidigital number, since it uses as much as digits as its factorization.

47772828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 47772828000 in words is "forty-seven billion, seven hundred seventy-two million, eight hundred twenty-eight thousand".