48177828 has 60 divisors (see below), whose sum is σ = 126673932. Its totient is φ = 15966720.

The previous prime is 48177821. The next prime is 48177839. The reversal of 48177828 is 82877184.

48177828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15824484 + 32353344 = 3978^2 + 5688^2 .

It is a super-2 number, since 2×48177828² = 4642206221595168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48177821) 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 19 ways as a sum of consecutive naturals, for example, 77776 + ... + 78392.

Almost surely, 2^48177828 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 48177828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63336966).

48177828 is an abundant number, since it is smaller than the sum of its proper divisors (78496104).

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

48177828 is a wasteful number, since it uses less digits than its factorization.

48177828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 48177828 is about 6941.0249963532. The cubic root of 48177828 is about 363.8723639767.

The spelling of 48177828 in words is "forty-eight million, one hundred seventy-seven thousand, eight hundred twenty-eight".