7128400 has 60 divisors (see below), whose sum is σ = 17436384. Its totient is φ = 2800000.

The previous prime is 7128391. The next prime is 7128427. The reversal of 7128400 is 48217.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28275 + ... + 28525.

Almost surely, 2^7128400 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 7128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718192).

7128400 is an abundant number, since it is smaller than the sum of its proper divisors (10307984).

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

7128400 is a wasteful number, since it uses less digits than its factorization.

7128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 7128400 is about 2669.9063653994. The cubic root of 7128400 is about 192.4556596587.

It can be divided in two parts, 71 and 28400, that multiplied together give a square (2016400 = 1420²).

The spelling of 7128400 in words is "seven million, one hundred twenty-eight thousand, four hundred".