7457628 has 48 divisors (see below), whose sum is σ = 18627840. Its totient is φ = 2313984.

The previous prime is 7457621. The next prime is 7457629. The reversal of 7457628 is 8267547.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7457621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28225 + ... + 28487.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 2^7457628 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 7457628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313920).

7457628 is an abundant number, since it is smaller than the sum of its proper divisors (11170212).

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

7457628 is a wasteful number, since it uses less digits than its factorization.

7457628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 7457628 is about 2730.8657967758. The cubic root of 7457628 is about 195.3740617417.

The spelling of 7457628 in words is "seven million, four hundred fifty-seven thousand, six hundred twenty-eight".