7628456 has 32 divisors (see below), whose sum is σ = 16286400. Its totient is φ = 3315840.

The previous prime is 7628441. The next prime is 7628471. The reversal of 7628456 is 6548267.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7628441) and next prime (7628471).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 140 + ... + 3908.

It is an arithmetic number, because the mean of its divisors is an integer number (508950).

Almost surely, 2^7628456 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 7628456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8143200).

7628456 is an abundant number, since it is smaller than the sum of its proper divisors (8657944).

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

7628456 is a wasteful number, since it uses less digits than its factorization.

7628456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3805 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 7628456 is about 2761.9659664811. The cubic root of 7628456 is about 196.8545913505.

The spelling of 7628456 in words is "seven million, six hundred twenty-eight thousand, four hundred fifty-six".