48528816 has 120 divisors (see below), whose sum is σ = 149276160. Its totient is φ = 13539456.

The previous prime is 48528791. The next prime is 48528817. The reversal of 48528816 is 61882584.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48528817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110325 + ... + 110763.

It is an arithmetic number, because the mean of its divisors is an integer number (1243968).

Almost surely, 2^48528816 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 48528816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74638080).

48528816 is an abundant number, since it is smaller than the sum of its proper divisors (100747344).

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

48528816 is a wasteful number, since it uses less digits than its factorization.

48528816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 48528816 is about 6966.2626996116. The cubic root of 48528816 is about 364.7538617010.

The spelling of 48528816 in words is "forty-eight million, five hundred twenty-eight thousand, eight hundred sixteen".