36761928 has 64 divisors (see below), whose sum is σ = 105922560. Its totient is φ = 10414656.

The previous prime is 36761927. The next prime is 36761929. The reversal of 36761928 is 82916763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36761927) and next prime (36761929).

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

It is a self number, because there is not a number n which added to its sum of digits gives 36761928.

It is not an unprimeable number, because it can be changed into a prime (36761927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20475 + ... + 22197.

It is an arithmetic number, because the mean of its divisors is an integer number (1655040).

Almost surely, 2^36761928 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 36761928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52961280).

36761928 is an abundant number, since it is smaller than the sum of its proper divisors (69160632).

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

36761928 is a wasteful number, since it uses less digits than its factorization.

36761928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1862 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 36761928 is about 6063.1615515340. The cubic root of 36761928 is about 332.5059542530.

The spelling of 36761928 in words is "thirty-six million, seven hundred sixty-one thousand, nine hundred twenty-eight".