36235728 has 80 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 11746944.

The previous prime is 36235723. The next prime is 36235733. The reversal of 36235728 is 82753263.

36235728 is a `hidden beast` number, since 3 + 623 + 5 + 7 + 28 = 666.

36235728 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (36235723) and next prime (36235733).

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 = 36235692 and 36235701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36235723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14851 + ... + 17117.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^36235728 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 36235728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

36235728 is an abundant number, since it is smaller than the sum of its proper divisors (70632432).

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

36235728 is a wasteful number, since it uses less digits than its factorization.

36235728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2309 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 36235728 is about 6019.6119476259. The cubic root of 36235728 is about 330.9118581919.

It can be divided in two parts, 36235 and 728, that added together give a palindrome (36963).

The spelling of 36235728 in words is "thirty-six million, two hundred thirty-five thousand, seven hundred twenty-eight".