7198128 has 120 divisors (see below), whose sum is σ = 23767328. Its totient is φ = 1990656.

The previous prime is 7198109. The next prime is 7198133. The reversal of 7198128 is 8218917.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 7198092 and 7198101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37200 + ... + 37392.

Almost surely, 2^7198128 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 7198128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11883664).

7198128 is an abundant number, since it is smaller than the sum of its proper divisors (16569200).

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

7198128 is a wasteful number, since it uses less digits than its factorization.

7198128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 7198128 is about 2682.9327237186. The cubic root of 7198128 is about 193.0811403212.

It can be divided in two parts, 7 and 198128, that added together give a triangular number (198135 = T₆₂₉).

The spelling of 7198128 in words is "seven million, one hundred ninety-eight thousand, one hundred twenty-eight".