47429928000 has 1792 divisors, whose sum is σ = 227219865600. Its totient is φ = 9405849600.

The previous prime is 47429927957. The next prime is 47429928001. The reversal of 47429928000 is 82992474.

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

It is not an unprimeable number, because it can be changed into a prime (47429928001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 373463937 + ... + 373464063.

It is an arithmetic number, because the mean of its divisors is an integer number (126796800).

Almost surely, 2^47429928000 is an apocalyptic number.

47429928000 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 47429928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113609932800).

47429928000 is an abundant number, since it is smaller than the sum of its proper divisors (179789937600).

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

47429928000 is a wasteful number, since it uses less digits than its factorization.

47429928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 47429928000 in words is "forty-seven billion, four hundred twenty-nine million, nine hundred twenty-eight thousand".