36031128 has 64 divisors (see below), whose sum is σ = 105477120. Its totient is φ = 10041600.

The previous prime is 36031117. The next prime is 36031147. The reversal of 36031128 is 82113063.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 36031098 and 36031107.

It is a congruent number.

It is an unprimeable number.

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, 4273 + ... + 9503.

It is an arithmetic number, because the mean of its divisors is an integer number (1648080).

Almost surely, 2^36031128 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 36031128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52738560).

36031128 is an abundant number, since it is smaller than the sum of its proper divisors (69445992).

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

36031128 is a wasteful number, since it uses less digits than its factorization.

36031128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 36031128 is about 6002.5934395060. The cubic root of 36031128 is about 330.2878663538.

The spelling of 36031128 in words is "thirty-six million, thirty-one thousand, one hundred twenty-eight".