47656728 has 128 divisors (see below), whose sum is σ = 155020800. Its totient is φ = 13281408.

The previous prime is 47656727. The next prime is 47656783. The reversal of 47656728 is 82765674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47656727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64650 + ... + 65382.

It is an arithmetic number, because the mean of its divisors is an integer number (1211100).

Almost surely, 2^47656728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47656728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77510400).

47656728 is an abundant number, since it is smaller than the sum of its proper divisors (107364072).

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

47656728 is a wasteful number, since it uses less digits than its factorization.

47656728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 47656728 is about 6903.3852565245. The cubic root of 47656728 is about 362.5557025777. Note that the first 3 decimals are identical.

It can be divided in two parts, 47656 and 728, that added together give a palindrome (48384).

The spelling of 47656728 in words is "forty-seven million, six hundred fifty-six thousand, seven hundred twenty-eight".