7628256 has 96 divisors (see below), whose sum is σ = 22730400. Its totient is φ = 2519424.

The previous prime is 7628251. The next prime is 7628293. The reversal of 7628256 is 6528267.

7628256 is a `hidden beast` number, since 7 + 628 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (40320) is a multiple of the sum of its prime factors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 7628256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7628251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 69930 + ... + 70038.

It is an arithmetic number, because the mean of its divisors is an integer number (236775).

Almost surely, 2^7628256 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 7628256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11365200).

7628256 is an abundant number, since it is smaller than the sum of its proper divisors (15102144).

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

7628256 is an equidigital number, since it uses as much as digits as its factorization.

7628256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 7628256 is about 2761.9297601496. The cubic root of 7628256 is about 196.8528709821.

The spelling of 7628256 in words is "seven million, six hundred twenty-eight thousand, two hundred fifty-six".