2198628 has 36 divisors (see below), whose sum is σ = 5607420. Its totient is φ = 726336.

The previous prime is 2198617. The next prime is 2198653. The reversal of 2198628 is 8268912.

2198628 is a `hidden beast` number, since 21 + 9 + 8 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 580644 + 1617984 = 762^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2198592 and 2198601.

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, 5458 + ... + 5846.

2^2198628 is an apocalyptic number.

It is an amenable number.

2198628 is an abundant number, since it is smaller than the sum of its proper divisors (3408792).

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

2198628 is a wasteful number, since it uses less digits than its factorization.

2198628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2198628 is about 1482.7771241829. Note that the first 3 decimals coincide. The cubic root of 2198628 is about 130.0321025255.

The spelling of 2198628 in words is "two million, one hundred ninety-eight thousand, six hundred twenty-eight".