48861288 has 96 divisors (see below), whose sum is σ = 156499200. Its totient is φ = 13474944.

The previous prime is 48861271. The next prime is 48861289. The reversal of 48861288 is 88216884.

It is a happy number.

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 (48861289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12945 + ... + 16287.

It is an arithmetic number, because the mean of its divisors is an integer number (1630200).

Almost surely, 2^48861288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48861288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78249600).

48861288 is an abundant number, since it is smaller than the sum of its proper divisors (107637912).

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

48861288 is a wasteful number, since it uses less digits than its factorization.

48861288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3384 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 48861288 is about 6990.0849780242. The cubic root of 48861288 is about 365.5849456012.

It can be divided in two parts, 488 and 61288, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 48861288 in words is "forty-eight million, eight hundred sixty-one thousand, two hundred eighty-eight".