82533528 has 96 divisors (see below), whose sum is σ = 278703360. Its totient is φ = 21435840.

The previous prime is 82533509. The next prime is 82533541.

82533528 is a `hidden beast` number, since 82 + 53 + 3 + 528 = 666.

82533528 is nontrivially palindromic in base 10.

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 = 82533492 and 82533501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900 + ... + 12987.

It is an arithmetic number, because the mean of its divisors is an integer number (2903160).

Almost surely, 2^82533528 is an apocalyptic number.

82533528 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 82533528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139351680).

82533528 is an abundant number, since it is smaller than the sum of its proper divisors (196169832).

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

82533528 is a wasteful number, since it uses less digits than its factorization.

82533528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14917 (or 14910 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 82533528 is about 9084.7965304678. The cubic root of 82533528 is about 435.3883491923.

It can be divided in two parts, 8253 and 3528, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 82533528 in words is "eighty-two million, five hundred thirty-three thousand, five hundred twenty-eight".