47338368 has 128 divisors (see below), whose sum is σ = 156867840. Its totient is φ = 12288000.

The previous prime is 47338363. The next prime is 47338391. The reversal of 47338368 is 86383374.

It is a tau number, because it is divible by the number of its divisors (128).

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47338363) 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, 28768 + ... + 30368.

It is an arithmetic number, because the mean of its divisors is an integer number (1225530).

Almost surely, 2^47338368 is an apocalyptic number.

47338368 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 47338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78433920).

47338368 is an abundant number, since it is smaller than the sum of its proper divisors (109529472).

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

47338368 is a wasteful number, since it uses less digits than its factorization.

47338368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1624 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 47338368 is about 6880.2883660498. The cubic root of 47338368 is about 361.7465743526.

The spelling of 47338368 in words is "forty-seven million, three hundred thirty-eight thousand, three hundred sixty-eight".