47962368 has 126 divisors (see below), whose sum is σ = 144098934. Its totient is φ = 15925248.

The previous prime is 47962361. The next prime is 47962379. The reversal of 47962368 is 86326974.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 186624 = 6912^2 + 432^2 .

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47962361) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186496 + ... + 186752.

Almost surely, 2^47962368 is an apocalyptic number.

47962368 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 47962368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72049467).

47962368 is an abundant number, since it is smaller than the sum of its proper divisors (96136566).

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

47962368 is an frugal number, since it uses more digits than its factorization.

47962368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 262 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 47962368 is about 6925.4868420928. The cubic root of 47962368 is about 363.3291188992.

The spelling of 47962368 in words is "forty-seven million, nine hundred sixty-two thousand, three hundred sixty-eight".