7628946 has 32 divisors (see below), whose sum is σ = 16789248. Its totient is φ = 2296320.

The previous prime is 7628927. The next prime is 7628947. The reversal of 7628946 is 6498267.

It is a junction number, because it is equal to n+sod(n) for n = 7628898 and 7628907.

It is not an unprimeable number, because it can be changed into a prime (7628947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2626 + ... + 4706.

It is an arithmetic number, because the mean of its divisors is an integer number (524664).

Almost surely, 2^7628946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7628946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394624).

7628946 is an abundant number, since it is smaller than the sum of its proper divisors (9160302).

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

7628946 is a wasteful number, since it uses less digits than its factorization.

7628946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146.

The product of its digits is 145152, while the sum is 42.

The square root of 7628946 is about 2762.0546699875. The cubic root of 7628946 is about 196.8588061258.

The spelling of 7628946 in words is "seven million, six hundred twenty-eight thousand, nine hundred forty-six".