47628756 has 72 divisors (see below), whose sum is σ = 141686720. Its totient is φ = 13554000.

The previous prime is 47628751. The next prime is 47628761. The reversal of 47628756 is 65782674.

47628756 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 (47628751) and next prime (47628761).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47628751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189631 + ... + 189881.

Almost surely, 2^47628756 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 47628756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70843360).

47628756 is an abundant number, since it is smaller than the sum of its proper divisors (94057964).

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

47628756 is a wasteful number, since it uses less digits than its factorization.

47628756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 263 counting only the distinct ones).

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

The square root of 47628756 is about 6901.3589966035. The cubic root of 47628756 is about 362.4847549673.

It can be divided in two parts, 47628 and 756, that added together give a palindrome (48384).

The spelling of 47628756 in words is "forty-seven million, six hundred twenty-eight thousand, seven hundred fifty-six".