36055728 has 120 divisors (see below), whose sum is σ = 107243136. Its totient is φ = 11289600.

The previous prime is 36055727. The next prime is 36055739. The reversal of 36055728 is 82755063.

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 = 36055692 and 36055701.

It is not an unprimeable number, because it can be changed into a prime (36055727) 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, 182926 + ... + 183122.

Almost surely, 2^36055728 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 36055728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

36055728 is an abundant number, since it is smaller than the sum of its proper divisors (71187408).

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

36055728 is a wasteful number, since it uses less digits than its factorization.

36055728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 36055728 is about 6004.6422041617. The cubic root of 36055728 is about 330.3630164952.

The spelling of 36055728 in words is "thirty-six million, fifty-five thousand, seven hundred twenty-eight".