36960928 has 96 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 16174080.

The previous prime is 36960923. The next prime is 36960949. The reversal of 36960928 is 82906963.

36960928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36960928² = 2732220397242368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36960923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697350 + ... + 697402.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^36960928 is an apocalyptic number.

36960928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36960928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

36960928 is an abundant number, since it is smaller than the sum of its proper divisors (45775712).

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

36960928 is a wasteful number, since it uses less digits than its factorization.

36960928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 36960928 is about 6079.5499833458. The cubic root of 36960928 is about 333.1048496436.

The spelling of 36960928 in words is "thirty-six million, nine hundred sixty thousand, nine hundred twenty-eight".