87523128 has 96 divisors (see below), whose sum is σ = 295551360. Its totient is φ = 22731840.

The previous prime is 87523099. The next prime is 87523129. The reversal of 87523128 is 82132578.

87523128 is a `hidden beast` number, since 8 + 7 + 523 + 128 = 666.

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 = 87523092 and 87523101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87523129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2350 + ... + 13437.

It is an arithmetic number, because the mean of its divisors is an integer number (3078660).

Almost surely, 2^87523128 is an apocalyptic number.

87523128 is a gapful number since it is divisible by the number (88) 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 87523128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147775680).

87523128 is an abundant number, since it is smaller than the sum of its proper divisors (208028232).

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

87523128 is a wasteful number, since it uses less digits than its factorization.

87523128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15817 (or 15810 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 87523128 is about 9355.3796288553. The cubic root of 87523128 is about 443.9911125565.

The spelling of 87523128 in words is "eighty-seven million, five hundred twenty-three thousand, one hundred twenty-eight".