47928020448 has 768 divisors, whose sum is σ = 177387356160. Its totient is φ = 10948608000.

The previous prime is 47928020447. The next prime is 47928020449. The reversal of 47928020448 is 84402082974.

47928020448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47928020447) and next prime (47928020449).

It is a super-2 number, since 2×47928020448² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 47928020397 and 47928020406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47928020447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119521048 + ... + 119521448.

It is an arithmetic number, because the mean of its divisors is an integer number (230973120).

Almost surely, 2^47928020448 is an apocalyptic number.

47928020448 is a gapful number since it is divisible by the number (48) 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 47928020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88693678080).

47928020448 is an abundant number, since it is smaller than the sum of its proper divisors (129459335712).

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

47928020448 is a wasteful number, since it uses less digits than its factorization.

47928020448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 47928020448 in words is "forty-seven billion, nine hundred twenty-eight million, twenty thousand, four hundred forty-eight".