48631968 has 384 divisors, whose sum is σ = 191600640. Its totient is φ = 11612160.

The previous prime is 48631967. The next prime is 48631987. The reversal of 48631968 is 86913684.

48631968 is a `hidden beast` number, since 4 + 8 + 631 + 9 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48631967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130955 + ... + 1130997.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 2^48631968 is an apocalyptic number.

48631968 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 48631968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

48631968 is an abundant number, since it is smaller than the sum of its proper divisors (142968672).

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

48631968 is a wasteful number, since it uses less digits than its factorization.

48631968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 48631968 is about 6973.6624523990. The cubic root of 48631968 is about 365.0121169431.

The spelling of 48631968 in words is "forty-eight million, six hundred thirty-one thousand, nine hundred sixty-eight".