47456928 has 144 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 14846976.

The previous prime is 47456921. The next prime is 47456951. The reversal of 47456928 is 82965474.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (47456921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132013 + ... + 132371.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^47456928 is an apocalyptic number.

47456928 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 47456928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

47456928 is an abundant number, since it is smaller than the sum of its proper divisors (101142432).

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

47456928 is a wasteful number, since it uses less digits than its factorization.

47456928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 47456928 is about 6888.8988960501. The cubic root of 47456928 is about 362.0483233721.

It can be divided in two parts, 47456 and 928, that added together give a palindrome (48384).

The spelling of 47456928 in words is "forty-seven million, four hundred fifty-six thousand, nine hundred twenty-eight".