47921328000 has 2048 divisors, whose sum is σ = 230965862400. Its totient is φ = 9488793600.

The previous prime is 47921327969. The next prime is 47921328043. The reversal of 47921328000 is 82312974.

It is a super-3 number, since 3×47921328000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 904175974 + ... + 904176026.

It is an arithmetic number, because the mean of its divisors is an integer number (112776300).

Almost surely, 2^47921328000 is an apocalyptic number.

47921328000 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 47921328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115482931200).

47921328000 is an abundant number, since it is smaller than the sum of its proper divisors (183044534400).

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

47921328000 is a wasteful number, since it uses less digits than its factorization.

47921328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 47921328000 in words is "forty-seven billion, nine hundred twenty-one million, three hundred twenty-eight thousand".