48087820 has 72 divisors (see below), whose sum is σ = 114758784. Its totient is φ = 16896000.

The previous prime is 48087799. The next prime is 48087821. The reversal of 48087820 is 2878084.

48087820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48087820³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48087820.

It is not an unprimeable number, because it can be changed into a prime (48087821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74700 + ... + 75340.

It is an arithmetic number, because the mean of its divisors is an integer number (1593872).

Almost surely, 2^48087820 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 48087820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57379392).

48087820 is an abundant number, since it is smaller than the sum of its proper divisors (66670964).

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

48087820 is a wasteful number, since it uses less digits than its factorization.

48087820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 48087820 is about 6934.5381965925. The cubic root of 48087820 is about 363.6456217719.

The spelling of 48087820 in words is "forty-eight million, eighty-seven thousand, eight hundred twenty".