36016128 has 78 divisors (see below), whose sum is σ = 104140374. Its totient is φ = 11993088.

The previous prime is 36016117. The next prime is 36016139. The reversal of 36016128 is 82161063.

It is an interprime number because it is at equal distance from previous prime (36016117) and next prime (36016139).

It can be written as a sum of positive squares in only one way, i.e., 35426304 + 589824 = 5952^2 + 768^2 .

It is a super-2 number, since 2×36016128² = 2594322952224768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36376 + ... + 37352.

It is an arithmetic number, because the mean of its divisors is an integer number (1335133).

Almost surely, 2^36016128 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 36016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52070187).

36016128 is an abundant number, since it is smaller than the sum of its proper divisors (68124246).

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

36016128 is an equidigital number, since it uses as much as digits as its factorization.

36016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 36016128 is about 6001.3438495057. The cubic root of 36016128 is about 330.2420263081.

The spelling of 36016128 in words is "thirty-six million, sixteen thousand, one hundred twenty-eight".