36862128 has 120 divisors (see below), whose sum is σ = 112840000. Its totient is φ = 11617344.

The previous prime is 36862121. The next prime is 36862139. The reversal of 36862128 is 82126863.

36862128 is a `hidden beast` number, since 3 + 6 + 8 + 621 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 36862092 and 36862101.

It is not an unprimeable number, because it can be changed into a prime (36862121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73623 + ... + 74121.

Almost surely, 2^36862128 is an apocalyptic number.

36862128 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 36862128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56420000).

36862128 is an abundant number, since it is smaller than the sum of its proper divisors (75977872).

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

36862128 is a wasteful number, since it uses less digits than its factorization.

36862128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 36862128 is about 6071.4189445302. The cubic root of 36862128 is about 332.8077780326.

The spelling of 36862128 in words is "thirty-six million, eight hundred sixty-two thousand, one hundred twenty-eight".