36028800 has 240 divisors, whose sum is σ = 133910700. Its totient is φ = 9538560.

The previous prime is 36028753. The next prime is 36028801. The reversal of 36028800 is 882063.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36028801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 259131 + ... + 259269.

Almost surely, 2^36028800 is an apocalyptic number.

36028800 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 36028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66955350).

36028800 is an abundant number, since it is smaller than the sum of its proper divisors (97881900).

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

36028800 is a wasteful number, since it uses less digits than its factorization.

36028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

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

The square root of 36028800 is about 6002.3995201919. The cubic root of 36028800 is about 330.2807528128.

The spelling of 36028800 in words is "thirty-six million, twenty-eight thousand, eight hundred".