7428096 has 144 divisors (see below), whose sum is σ = 23849280. Its totient is φ = 2211840.

The previous prime is 7428079. The next prime is 7428119. The reversal of 7428096 is 6908247.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7428096² = 110353220370432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7428096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239601 + ... + 239631.

It is an arithmetic number, because the mean of its divisors is an integer number (165620).

Almost surely, 2^7428096 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 7428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924640).

7428096 is an abundant number, since it is smaller than the sum of its proper divisors (16421184).

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

7428096 is a wasteful number, since it uses less digits than its factorization.

7428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7428096 is about 2725.4533567831. The cubic root of 7428096 is about 195.1158286209.

The spelling of 7428096 in words is "seven million, four hundred twenty-eight thousand, ninety-six".