47782368 has 72 divisors (see below), whose sum is σ = 136628856. Its totient is φ = 15840000.

The previous prime is 47782367. The next prime is 47782379. The reversal of 47782368 is 86328774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47782367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71958 + ... + 72618.

It is an arithmetic number, because the mean of its divisors is an integer number (1897623).

Almost surely, 2^47782368 is an apocalyptic number.

47782368 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 47782368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68314428).

47782368 is an abundant number, since it is smaller than the sum of its proper divisors (88846488).

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

47782368 is a wasteful number, since it uses less digits than its factorization.

47782368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 917 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 47782368 is about 6912.4791500590. The cubic root of 47782368 is about 362.8740313772.

The spelling of 47782368 in words is "forty-seven million, seven hundred eighty-two thousand, three hundred sixty-eight".