36948128 has 48 divisors (see below), whose sum is σ = 83571264. Its totient is φ = 15751680.

The previous prime is 36948077. The next prime is 36948139. The reversal of 36948128 is 82184963.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62651 + ... + 63237.

It is an arithmetic number, because the mean of its divisors is an integer number (1741068).

Almost surely, 2^36948128 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 36948128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41785632).

36948128 is an abundant number, since it is smaller than the sum of its proper divisors (46623136).

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

36948128 is a wasteful number, since it uses less digits than its factorization.

36948128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 877 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 36948128 is about 6078.4971826924. The cubic root of 36948128 is about 333.0663925071.

The spelling of 36948128 in words is "thirty-six million, nine hundred forty-eight thousand, one hundred twenty-eight".