48202128 has 100 divisors (see below), whose sum is σ = 150295068. Its totient is φ = 14826240.

The previous prime is 48202127. The next prime is 48202151. The reversal of 48202128 is 82120284.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 31945104 = 4032^2 + 5652^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48202127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15418 + ... + 18278.

Almost surely, 2^48202128 is an apocalyptic number.

48202128 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 48202128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75147534).

48202128 is an abundant number, since it is smaller than the sum of its proper divisors (102092940).

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

48202128 is a wasteful number, since it uses less digits than its factorization.

48202128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48202128 is about 6942.7752376121. The cubic root of 48202128 is about 363.9335305107.

The spelling of 48202128 in words is "forty-eight million, two hundred two thousand, one hundred twenty-eight".