36928000 has 80 divisors (see below), whose sum is σ = 92241864. Its totient is φ = 14745600.

The previous prime is 36927977. The next prime is 36928007. The reversal of 36928000 is 82963.

It can be written as a sum of positive squares in 4 ways, for example, as 23503104 + 13424896 = 4848^2 + 3664^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 36928000.

It is not an unprimeable number, because it can be changed into a prime (36928007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63712 + ... + 64288.

Almost surely, 2^36928000 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 36928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46120932).

36928000 is an abundant number, since it is smaller than the sum of its proper divisors (55313864).

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

36928000 is an frugal number, since it uses more digits than its factorization.

36928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 36928000 is about 6076.8412847465. The cubic root of 36928000 is about 333.0059006911.

The spelling of 36928000 in words is "thirty-six million, nine hundred twenty-eight thousand".