36822528 has 120 divisors (see below), whose sum is σ = 108839016. Its totient is φ = 11980800.

The previous prime is 36822497. The next prime is 36822529. The reversal of 36822528 is 82522863.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 36822492 and 36822501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36822529) 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, 281023 + ... + 281153.

Almost surely, 2^36822528 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 36822528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54419508).

36822528 is an abundant number, since it is smaller than the sum of its proper divisors (72016488).

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

36822528 is a wasteful number, since it uses less digits than its factorization.

36822528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 36822528 is about 6068.1568865678. The cubic root of 36822528 is about 332.6885598278.

The spelling of 36822528 in words is "thirty-six million, eight hundred twenty-two thousand, five hundred twenty-eight".