48162528 has 72 divisors (see below), whose sum is σ = 138574800. Its totient is φ = 15865344.

The previous prime is 48162523. The next prime is 48162539. The reversal of 48162528 is 82526184.

48162528 is a `hidden beast` number, since 4 + 8 + 1 + 625 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48162492 and 48162501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48162523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24693 + ... + 26571.

It is an arithmetic number, because the mean of its divisors is an integer number (1924650).

Almost surely, 2^48162528 is an apocalyptic number.

48162528 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 48162528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69287400).

48162528 is an abundant number, since it is smaller than the sum of its proper divisors (90412272).

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

48162528 is a wasteful number, since it uses less digits than its factorization.

48162528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1973 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 48162528 is about 6939.9227661408. The cubic root of 48162528 is about 363.8338411621.

The spelling of 48162528 in words is "forty-eight million, one hundred sixty-two thousand, five hundred twenty-eight".