8728000 has 56 divisors (see below), whose sum is σ = 21634704. Its totient is φ = 3488000.

The previous prime is 8727989. The next prime is 8728037. The reversal of 8728000 is 8278.

8728000 = 195² + 196² + ... + 322².

It is a super-3 number, since 3×8728000³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7455 + ... + 8545.

It is an arithmetic number, because the mean of its divisors is an integer number (386334).

Almost surely, 2^8728000 is an apocalyptic number.

8728000 is a gapful number since it is divisible by the number (80) 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 8728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10817352).

8728000 is an abundant number, since it is smaller than the sum of its proper divisors (12906704).

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

8728000 is a wasteful number, since it uses less digits than its factorization.

8728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 8728000 is about 2954.3188724307. The cubic root of 8728000 is about 205.8914185684.

The spelling of 8728000 in words is "eight million, seven hundred twenty-eight thousand".