47686128 has 80 divisors (see below), whose sum is σ = 141538560. Its totient is φ = 13552128.

The previous prime is 47686127. The next prime is 47686151. The reversal of 47686128 is 82168674.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (129024) is a multiple of the sum of its prime divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 47686128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47686127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116388 + ... + 116796.

It is an arithmetic number, because the mean of its divisors is an integer number (1769232).

Almost surely, 2^47686128 is an apocalyptic number.

47686128 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 47686128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70769280).

47686128 is an abundant number, since it is smaller than the sum of its proper divisors (93852432).

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

47686128 is a wasteful number, since it uses less digits than its factorization.

47686128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 47686128 is about 6905.5143182822. The cubic root of 47686128 is about 362.6302422208.

The spelling of 47686128 in words is "forty-seven million, six hundred eighty-six thousand, one hundred twenty-eight".