36509928 has 128 divisors (see below), whose sum is σ = 114374400. Its totient is φ = 9455616.

The previous prime is 36509867. The next prime is 36509953. The reversal of 36509928 is 82990563.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 36509928.

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 31 ways as a sum of consecutive naturals, for example, 159318 + ... + 159546.

It is an arithmetic number, because the mean of its divisors is an integer number (893550).

Almost surely, 2^36509928 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 36509928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57187200).

36509928 is an abundant number, since it is smaller than the sum of its proper divisors (77864472).

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

36509928 is a wasteful number, since it uses less digits than its factorization.

36509928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 36509928 is about 6042.3445780591. The cubic root of 36509928 is about 331.7444445533.

The spelling of 36509928 in words is "thirty-six million, five hundred nine thousand, nine hundred twenty-eight".