36763128 has 48 divisors (see below), whose sum is σ = 100320480. Its totient is φ = 12161664.

The previous prime is 36763123. The next prime is 36763169. The reversal of 36763128 is 82136763.

It is a happy number.

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 = 36763092 and 36763101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36763121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8001 + ... + 11727.

It is an arithmetic number, because the mean of its divisors is an integer number (2090010).

Almost surely, 2^36763128 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 36763128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50160240).

36763128 is an abundant number, since it is smaller than the sum of its proper divisors (63557352).

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

36763128 is a wasteful number, since it uses less digits than its factorization.

36763128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3869 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36763128 is about 6063.2605090001. The cubic root of 36763128 is about 332.5095721517.

The spelling of 36763128 in words is "thirty-six million, seven hundred sixty-three thousand, one hundred twenty-eight".