36528870 has 64 divisors (see below), whose sum is σ = 102352896. Its totient is φ = 8169600.

The previous prime is 36528857. The next prime is 36528871. The reversal of 36528870 is 7882563.

36528870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36528871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8020 + ... + 11720.

It is an arithmetic number, because the mean of its divisors is an integer number (1599264).

Almost surely, 2^36528870 is an apocalyptic number.

36528870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36528870 is the 4935-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36528870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51176448).

36528870 is an abundant number, since it is smaller than the sum of its proper divisors (65824026).

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

36528870 is a wasteful number, since it uses less digits than its factorization.

36528870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 36528870 is about 6043.9118127253. The cubic root of 36528870 is about 331.8018062738.

It can be divided in two parts, 36 and 528870, that added together give a triangular number (528906 = T₁₀₂₈).

The spelling of 36528870 in words is "thirty-six million, five hundred twenty-eight thousand, eight hundred seventy".