36328500 has 288 divisors, whose sum is σ = 133555968. Its totient is φ = 8553600.

The previous prime is 36328493. The next prime is 36328529. The reversal of 36328500 is 582363.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1579489 + ... + 1579511.

It is an arithmetic number, because the mean of its divisors is an integer number (463736).

Almost surely, 2^36328500 is an apocalyptic number.

36328500 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 36328500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66777984).

36328500 is an abundant number, since it is smaller than the sum of its proper divisors (97227468).

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

36328500 is a wasteful number, since it uses less digits than its factorization.

36328500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36328500 is about 6027.3128340912. The cubic root of 36328500 is about 331.1940216312.

The spelling of 36328500 in words is "thirty-six million, three hundred twenty-eight thousand, five hundred".