48286368 has 120 divisors (see below), whose sum is σ = 153039348. Its totient is φ = 14846976.

The previous prime is 48286349. The next prime is 48286387. The reversal of 48286368 is 86368284.

It is a happy number.

48286368 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (48286349) and next prime (48286387).

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 11664 = 6948^2 + 108^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32980 + ... + 34412.

Almost surely, 2^48286368 is an apocalyptic number.

48286368 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 48286368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76519674).

48286368 is an abundant number, since it is smaller than the sum of its proper divisors (104752980).

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

48286368 is a wasteful number, since it uses less digits than its factorization.

48286368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1451 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 48286368 is about 6948.8393275424. The cubic root of 48286368 is about 364.1454154738.

The spelling of 48286368 in words is "forty-eight million, two hundred eighty-six thousand, three hundred sixty-eight".