36764928 has 126 divisors (see below), whose sum is σ = 110587554. Its totient is φ = 12192768.

The previous prime is 36764927. The next prime is 36764929. The reversal of 36764928 is 82946763.

It is an interprime number because it is at equal distance from previous prime (36764927) and next prime (36764929).

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 186624 = 6048^2 + 432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36764927) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186526 + ... + 186722.

It is an arithmetic number, because the mean of its divisors is an integer number (877679).

Almost surely, 2^36764928 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 36764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55293777).

36764928 is an abundant number, since it is smaller than the sum of its proper divisors (73822626).

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

36764928 is an frugal number, since it uses more digits than its factorization.

36764928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 36764928 is about 6063.4089421711. The cubic root of 36764928 is about 332.5149988523.

The spelling of 36764928 in words is "thirty-six million, seven hundred sixty-four thousand, nine hundred twenty-eight".