48612528 has 80 divisors (see below), whose sum is σ = 140764800. Its totient is φ = 16061760.

The previous prime is 48612521. The next prime is 48612533. The reversal of 48612528 is 82521684.

48612528 = 1217² + 1218² + ... + 1248².

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 = 48612492 and 48612501.

It is not an unprimeable number, because it can be changed into a prime (48612521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56163 + ... + 57021.

It is an arithmetic number, because the mean of its divisors is an integer number (1759560).

Almost surely, 2^48612528 is an apocalyptic number.

48612528 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 48612528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70382400).

48612528 is an abundant number, since it is smaller than the sum of its proper divisors (92152272).

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

48612528 is a wasteful number, since it uses less digits than its factorization.

48612528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

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

The square root of 48612528 is about 6972.2684974117. The cubic root of 48612528 is about 364.9634741707.

The spelling of 48612528 in words is "forty-eight million, six hundred twelve thousand, five hundred twenty-eight".