7428 has 12 divisors (see below), whose sum is σ = 17360. Its totient is φ = 2472.

The previous prime is 7417. The next prime is 7433. The reversal of 7428 is 8247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 6.

It is an unprimeable number.

7428 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298 + ... + 321.

2⁷⁴²⁸ is an apocalyptic number.

It is an amenable number.

7428 is an abundant number, since it is smaller than the sum of its proper divisors (9932).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680).

7428 is a wasteful number, since it uses less digits than its factorization.

7428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 7428 is about 86.1858457057. The cubic root of 7428 is about 19.5114988065.

It can be divided in two parts, 7 and 428, that added together give a triangular number (435 = T₂₉).

The spelling of 7428 in words is "seven thousand, four hundred twenty-eight".