36828288 has 96 divisors (see below), whose sum is σ = 121143360. Its totient is φ = 10520064.

The previous prime is 36828277. The next prime is 36828293. The reversal of 36828288 is 88282863.

36828288 is a `hidden beast` number, since 368 + 2 + 8 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5781 + ... + 10347.

It is an arithmetic number, because the mean of its divisors is an integer number (1261910).

Almost surely, 2^36828288 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 36828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60571680).

36828288 is an abundant number, since it is smaller than the sum of its proper divisors (84315072).

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

36828288 is a wasteful number, since it uses less digits than its factorization.

36828288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594 (or 4579 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 36828288 is about 6068.6314767005. The cubic root of 36828288 is about 332.7059059679.

The spelling of 36828288 in words is "thirty-six million, eight hundred twenty-eight thousand, two hundred eighty-eight".