36128800 has 36 divisors (see below), whose sum is σ = 88201386. Its totient is φ = 14451200.

The previous prime is 36128797. The next prime is 36128819. The reversal of 36128800 is 882163.

It can be written as a sum of positive squares in 3 ways, for example, as 30426256 + 5702544 = 5516^2 + 2388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21781 + ... + 23380.

Almost surely, 2^36128800 is an apocalyptic number.

It is an amenable number.

36128800 is an abundant number, since it is smaller than the sum of its proper divisors (52072586).

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

36128800 is a wasteful number, since it uses less digits than its factorization.

36128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45181 (or 45168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 36128800 is about 6010.7237500987. The cubic root of 36128800 is about 330.5860415930.

It can be divided in two parts, 361 and 28800, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 36128800 in words is "thirty-six million, one hundred twenty-eight thousand, eight hundred".