816728500 has 96 divisors (see below), whose sum is σ = 2049465600. Its totient is φ = 278524800.

The previous prime is 816728443. The next prime is 816728503. The reversal of 816728500 is 5827618.

It is a self number, because there is not a number n which added to its sum of digits gives 816728500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816728503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800991 + ... + 802009.

It is an arithmetic number, because the mean of its divisors is an integer number (21348600).

Almost surely, 2^816728500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816728500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024732800).

816728500 is an abundant number, since it is smaller than the sum of its proper divisors (1232737100).

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

816728500 is a wasteful number, since it uses less digits than its factorization.

816728500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 816728500 is about 28578.4621699629. The cubic root of 816728500 is about 934.7437504951.

It can be divided in two parts, 816 and 728500, that added together give a square (729316 = 854²).

The spelling of 816728500 in words is "eight hundred sixteen million, seven hundred twenty-eight thousand, five hundred".