36520128 has 168 divisors, whose sum is σ = 114117120. Its totient is φ = 11128320.

The previous prime is 36520103. The next prime is 36520129. The reversal of 36520128 is 82102563.

36520128 is a `hidden beast` number, since 3 + 652 + 0 + 1 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (36520129) 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, 514333 + ... + 514403.

Almost surely, 2^36520128 is an apocalyptic number.

36520128 is a gapful number since it is divisible by the number (38) 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 36520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

36520128 is an abundant number, since it is smaller than the sum of its proper divisors (77596992).

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

36520128 is a wasteful number, since it uses less digits than its factorization.

36520128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 36520128 is about 6043.1885623402. The cubic root of 36520128 is about 331.7753354959.

The spelling of 36520128 in words is "thirty-six million, five hundred twenty thousand, one hundred twenty-eight".