36828120 has 128 divisors (see below), whose sum is σ = 133747200. Its totient is φ = 7919616.

The previous prime is 36828101. The next prime is 36828133. The reversal of 36828120 is 2182863.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12991 + ... + 15569.

It is an arithmetic number, because the mean of its divisors is an integer number (1044900).

Almost surely, 2^36828120 is an apocalyptic number.

36828120 is a gapful number since it is divisible by the number (30) 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 36828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66873600).

36828120 is an abundant number, since it is smaller than the sum of its proper divisors (96919080).

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

36828120 is a wasteful number, since it uses less digits than its factorization.

36828120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 36828120 is about 6068.6176350138. The cubic root of 36828120 is about 332.7054000644.

The spelling of 36828120 in words is "thirty-six million, eight hundred twenty-eight thousand, one hundred twenty".