7128900 has 81 divisors (see below), whose sum is σ = 22599031. Its totient is φ = 1879680.

The previous prime is 7128833. The next prime is 7128907. The reversal of 7128900 is 98217.

The square root of 7128900 is 2670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1483524 + 5645376 = 1218^2 + 2376^2 .

It is a super-3 number, since 3×7128900³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (7128907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80056 + ... + 80144.

Almost surely, 2^7128900 is an apocalyptic number.

7128900 is the 2670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7128900

7128900 is an abundant number, since it is smaller than the sum of its proper divisors (15470131).

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

7128900 is a wasteful number, since it uses less digits than its factorization.

7128900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The cubic root of 7128900 is about 192.4601592930.

The spelling of 7128900 in words is "seven million, one hundred twenty-eight thousand, nine hundred".