36828000 has 384 divisors, whose sum is σ = 150958080. Its totient is φ = 8640000.

The previous prime is 36827993. The next prime is 36828007. The reversal of 36828000 is 82863.

It is an interprime number because it is at equal distance from previous prime (36827993) and next prime (36828007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36828007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187985 + ... + 1188015.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^36828000 is an apocalyptic number.

36828000 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 36828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

36828000 is an abundant number, since it is smaller than the sum of its proper divisors (114130080).

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

36828000 is a wasteful number, since it uses less digits than its factorization.

36828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 36828000 is about 6068.6077480753. The cubic root of 36828000 is about 332.7050387039.

The spelling of 36828000 in words is "thirty-six million, eight hundred twenty-eight thousand".